An Introduction to Frames and Riesz Bases

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Author :
Publisher : Birkhäuser
ISBN 13 : 3319256130
Total Pages : 704 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis An Introduction to Frames and Riesz Bases by : Ole Christensen

Download or read book An Introduction to Frames and Riesz Bases written by Ole Christensen and published by Birkhäuser. This book was released on 2016-05-24 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems. Compared with the first edition, more emphasis is put on explicit constructions with attractive properties. Based on the exiting development of frame theory over the last decade, this second edition now includes new sections on the rapidly growing fields of LCA groups, generalized shift-invariant systems, duality theory for as well Gabor frames as wavelet frames, and open problems in the field. Key features include: *Elementary introduction to frame theory in finite-dimensional spaces * Basic results presented in an accessible way for both pure and applied mathematicians * Extensive exercises make the work suitable as a textbook for use in graduate courses * Full proofs includ ed in introductory chapters; only basic knowledge of functional analysis required * Explicit constructions of frames and dual pairs of frames, with applications and connections to time-frequency analysis, wavelets, and generalized shift-invariant systems * Discussion of frames on LCA groups and the concrete realizations in terms of Gabor systems on the elementary groups; connections to sampling theory * Selected research topics presented with recommendations for more advanced topics and further readin g * Open problems to stimulate further research An Introduction to Frames and Riesz Bases will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference. Review of the first edition: "Ole Christensen’s An Introduction to Frames and Riesz Bases is a first-rate introduction to the field ... . The book provides an excellent exposition of these topics. The material is broad enough to pique the interest of many readers, the included exercises supply some interesting challenges, and the coverage provides enough background for those new to the subject to begin conducting original research." — Eric S. Weber, American Mathematical Monthly, Vol. 112, February, 2005

An Introduction to Frames

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Author :
Publisher : Now Publishers Inc
ISBN 13 : 160198068X
Total Pages : 110 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis An Introduction to Frames by : Jelena Kovacevic

Download or read book An Introduction to Frames written by Jelena Kovacevic and published by Now Publishers Inc. This book was released on 2008 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Frames is an introduction to redundant signal representations called frames. These representations have recently emerged as yet another powerful tool in the signal processing toolbox, spurred by a host of recent applications requiring some level of redundancy. It asks the question: Why and where should one use frames? And answers emphatically: Anywhere where redundancy is a must. It then goes on to discuss a host of applications that richly illustrate that answer. An Introduction to Frames is geared primarily toward engineering students and those without extensive mathematical training. It is also intended to help researchers and practitioners decide whether frames are the right tool for their application.

Frames for Undergraduates

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821842129
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Frames for Undergraduates by : Deguang Han

Download or read book Frames for Undergraduates written by Deguang Han and published by American Mathematical Soc.. This book was released on 2007 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The early chapters contain the topics from linear algebra that students need to know in order to read the rest of the book. The later chapters are devoted to advanced topics, which allow students with more experience to study more intricate types of frames. Toward that end, a Student Presentation section gives detailed proofs of fairly technical results with the intention that a student could work out these proofs independently and prepare a presentation to a class or research group. The authors have also presented some stories in the Anecdotes section about how this material has motivated and influenced their students."--BOOK JACKET.

Finite Frames

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Publisher : Springer Science & Business Media
ISBN 13 : 0817683739
Total Pages : 492 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Finite Frames by : Peter G. Casazza

Download or read book Finite Frames written by Peter G. Casazza and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including: * Finite Frame Constructions; * Optimal Erasure Resilient Frames; * Quantization of Finite Frames; * Finite Frames and Compressed Sensing; * Group and Gabor Frames; * Fusion Frames. Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory. With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more. It is designed to be used as a supplemental textbook, self-study guide, or reference book.

Frames and Concept Types

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Publisher : Springer Science & Business Media
ISBN 13 : 3319015419
Total Pages : 360 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Frames and Concept Types by : Thomas Gamerschlag

Download or read book Frames and Concept Types written by Thomas Gamerschlag and published by Springer Science & Business Media. This book was released on 2013-11-26 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume showcases the potential richness of frame representations. The presentation includes introductory articles on the application of frames to linguistics and philosophy of science, offering readers the tools to conduct the interdisciplinary investigation of concepts that frames allow. * Introductory articles on the application of frames to linguistics and philosophy of science * Frame analysis of changes in scientific concepts * Event frames and lexical decomposition * Properties, frame attributes and adjectives * Frames in concept composition * Nominal concept types and determination​ "This volume deals with frame representations and their relations to concept types in linguistics and philosophy of science. It aims at reviving concepts and frames as a common model across disciplines for representing semantic and conceptual knowledge. Departing from the general assumption that frames are not just an arbitrary format of representation but essential to human cognition, a number of case studies apply frames as an analytical tool to a wide range of phenomena, from changes in scientific concepts to particular linguistic phenomena. This provides new insights into long-standing semantic issues, such as the lexical representation of verbs (as predicative frames specifying particular event descriptions or situation types and their participants), adjectives and nominals (as concept frames, which provide attributes and properties of an entity), as well as modification, complementation, possessive constructions, compounding, nominal concept types, determination, or definiteness marking." Bert Gehrke, Pompeu, Fabra University, Barcelona, Spain

Immanent Frames

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Publisher : State University of New York Press
ISBN 13 : 1438470185
Total Pages : 308 pages
Book Rating : 4.4/5 (384 download)

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Book Synopsis Immanent Frames by : John Caruana

Download or read book Immanent Frames written by John Caruana and published by State University of New York Press. This book was released on 2018-05-31 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores a growing number of films and filmmakers that challenge the strict boundaries between belief and unbelief. For some time now, thinkers across the humanities and social sciences have increasingly called into question the once-dominant view of the relationship between modernity and secularism, prompting some to speak of a “postsecular turn.” Until now, film studies has largely been silent about this development, even though cinema itself has been a major vehicle for such reflection. This fact became inescapable in 2011 when Terrence Malick’s The Tree of Life and Lars von Trier’s Melancholia were released within days of each other. While these two audacious and controversial films present seemingly opposite perspectives—the former a thoughtful meditation on faith, the latter a portrayal of nontriumphalist atheism—together they raise critical questions about transcendence and immanence in modern life. These films are, however, only the most conspicuous of a growing body of works that call forth similar and related questions—what this collection aptly calls “postsecular cinema.” Taking the nearly simultaneous release of The Tree of Life and Melancholia as its starting point and framing device, this pioneering collection sets out to establish the idea of postsecular cinema as a distinct body of films and a viable critical category. Adopting a film-philosophy approach, one group of essays examines Malick’s and von Trier’s films, while another looks at works by Chantal Akerman, Denys Arcand, the Dardenne brothers, and John Michael McDonagh, among others. The volume closes with two important interviews with Luc Dardenne and Jean-Luc Nancy that invite us to reflect more deeply on some of the central concerns of postsecular cinema. John Caruana is Associate Professor of Philosophy at Ryerson University. Mark Cauchi is Associate Professor in the Department of Humanities at York University.

Frames and Locales

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Publisher : Springer Science & Business Media
ISBN 13 : 3034801548
Total Pages : 398 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Frames and Locales by : Jorge Picado

Download or read book Frames and Locales written by Jorge Picado and published by Springer Science & Business Media. This book was released on 2011-10-21 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.

Plastic Design and Second-Order Analysis of Steel Frames

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Publisher : Springer
ISBN 13 : 1461384281
Total Pages : 519 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Plastic Design and Second-Order Analysis of Steel Frames by : W.F. Chen

Download or read book Plastic Design and Second-Order Analysis of Steel Frames written by W.F. Chen and published by Springer. This book was released on 2013-12-20 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plastic Design of Steel Frames assesses the current status and future direction of computer-based analyses of inelastic strength and stability for direct frame design. It shows how design rules are used in practical frame design and provides an introduction to the second-order theory of inelastic frame design. The book includes two computer programs on a diskette: one for the first-order analyses and the other for the second-order plastic hinge analysis of planar frame design. The second-order program can be used to predict realistic strengths and stabilities of planar frames, thereby eliminating the tedious task of estimating factors for individual member capacity checks. Both programs include clear input instructions. The diskette also contains the Fortran source-code listing for the second-order plastic-hinge analysis, enabling the user to customize the program. The programs will run on an IBM PC-AT or equivalent machine with 640 kB of memory and 30 MB hard drive.

From Frenet to Cartan: The Method of Moving Frames

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470429527
Total Pages : 414 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis From Frenet to Cartan: The Method of Moving Frames by : Jeanne N. Clelland

Download or read book From Frenet to Cartan: The Method of Moving Frames written by Jeanne N. Clelland and published by American Mathematical Soc.. This book was released on 2017-03-29 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of moving frames originated in the early nineteenth century with the notion of the Frenet frame along a curve in Euclidean space. Later, Darboux expanded this idea to the study of surfaces. The method was brought to its full power in the early twentieth century by Elie Cartan, and its development continues today with the work of Fels, Olver, and others. This book is an introduction to the method of moving frames as developed by Cartan, at a level suitable for beginning graduate students familiar with the geometry of curves and surfaces in Euclidean space. The main focus is on the use of this method to compute local geometric invariants for curves and surfaces in various 3-dimensional homogeneous spaces, including Euclidean, Minkowski, equi-affine, and projective spaces. Later chapters include applications to several classical problems in differential geometry, as well as an introduction to the nonhomogeneous case via moving frames on Riemannian manifolds. The book is written in a reader-friendly style, building on already familiar concepts from curves and surfaces in Euclidean space. A special feature of this book is the inclusion of detailed guidance regarding the use of the computer algebra system Maple™ to perform many of the computations involved in the exercises.

Fluid Frames

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Publisher : CRC Press
ISBN 13 : 1317665430
Total Pages : 528 pages
Book Rating : 4.3/5 (176 download)

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Book Synopsis Fluid Frames by : Corrie Francis Parks

Download or read book Fluid Frames written by Corrie Francis Parks and published by CRC Press. This book was released on 2020-03-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Once the realm of a few stalwart artists, animating with sand, clay, and wet paint is now accessible for all filmmakers with an experimental frame of mind. Created directly under the camera with frame-by-frame stopmotion, this "fluid frame animation" provides a completely unique visual world for animators. While pioneering animators such as Caroline Leaf, Alexander Petrov, and Ishu Patel paved the way, the availability of frame capture programs, compositing software and digital workflow is opening up new avenues of exploration for artists of all experience levels. This book will walk you through setting up your studio, choosing and working with your materials, and combining the physical under-the-camera production with digital compositing and effects to enhance your animation. · Firsthand advice from experimental animation veterans and rising stars in the field · Covers the digital aspects of experimental animation, including the latest techniques in After Effects CC · Tutorials and source files for under-the-camera approaches and After Effects enhancements on the book’s companion website In addition to the practical advice, you’ll find historical and contemporary examples of successful films, step-by-step tutorials for working under the camera and working with the footage digitally, and interviews and tips from artists who are currently pushing the boundaries in these experimental mediums. Stacked with information and images from over 30 artists, this book is an indispensable resource for both the student and professional wishing to get their hands dirty in an increasingly digital world.

Geodetic Reference Frames

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Publisher : Springer Science & Business Media
ISBN 13 : 3642008607
Total Pages : 312 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Geodetic Reference Frames by : Hermann Drewes

Download or read book Geodetic Reference Frames written by Hermann Drewes and published by Springer Science & Business Media. This book was released on 2009-06-22 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geodetic reference frames are the basis for The programme of the Symposium was divided three-dimensional, time dependent positioning according to the Sub-commissions, Projects in all global, regional and national networks, in and Study Groups of Commission 1 into eight cadastre, engineering, precise navigation, geo- general themes: information systems, geodynamics, sea level studies, and other geosciences. They are 1. Combination of space techniques necessary to consistently estimate unknown 2. Global reference frames and Earth rotation parameters using geodetic observations, e. g. , 3. Regional reference frames station coordinates, Earth orientation and 4. Interaction of terrestrial and celestial frames rotation parameters. Commission 1 “Reference 5. Vertical reference frames Frames” of the International Association of 6. Ionosphere modelling and analysis Geodesy (IAG) was established within the new 7. Satellite altimetry structure of IAG in 2003 with the mission to 8. Use of GNSS for reference frames study the fundamental scientific problems for the establishment of reference frames. One day of the Symposium was dedicated to a The principal objective of the scientific work joint meeting with the International Congress of the Commission is basic research on: of Federación Internationale des Géomètres - Definition, establishment, maintenance, and (FIG) and the INTERGEO congress of the improvement of geodetic reference frames. German Association of Surveying, Geo- - Advanced development of terrestrial and information and Land Management. The space observation techniques for this contributions presented at this meeting are purpose. integrated into these proceedings.

The Stability of Frames

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Publisher : Elsevier
ISBN 13 : 1483180794
Total Pages : 188 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis The Stability of Frames by : M. R. Horne

Download or read book The Stability of Frames written by M. R. Horne and published by Elsevier. This book was released on 2014-05-16 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Stability of Frames provides a vivid picture of phenomena affecting the stability of plane, rigid-jointed, triangulated and non-triangulated frames. This book discusses the energy methods that are of prime importance in dealing with the stability of isolated members and of plate elements within members. Organized into five chapters, this book begins with an overview of the essential features of stability in elastic and elastic-plastic structures by reference to single members bending about one axis. This text then examines the stability functions for prismatic elastic members. Other chapters consider the elastic stability of triangulated frames and with non-triangulated frames. This book discusses as well the principles of structural analysis that are the same for all frames, whether or not axial loads in members are sufficient to affect their stiffness. The final chapter deals with the behavior of both triangulated and non-triangulated frames beyond the elastic limit. This book is a valuable resource for engineers.

An Introduction to Finite Tight Frames

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Publisher : Springer
ISBN 13 : 0817648151
Total Pages : 587 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis An Introduction to Finite Tight Frames by : Shayne F. D. Waldron

Download or read book An Introduction to Finite Tight Frames written by Shayne F. D. Waldron and published by Springer. This book was released on 2018-02-03 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing. Featuring exercises and MATLAB examples in each chapter, the book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.

Choices, Values, and Frames

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Publisher : Cambridge University Press
ISBN 13 : 1107651069
Total Pages : 864 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis Choices, Values, and Frames by : Daniel Kahneman

Download or read book Choices, Values, and Frames written by Daniel Kahneman and published by Cambridge University Press. This book was released on 2000-09-25 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the definitive exposition of 'prospect theory', a compelling alternative to the classical utility theory of choice. Building on the 1982 volume, Judgement Under Uncertainty, this book brings together seminal papers on prospect theory from economists, decision theorists, and psychologists, including the work of the late Amos Tversky, whose contributions are collected here for the first time. While remaining within a rational choice framework, prospect theory delivers more accurate, empirically verified predictions in key test cases, as well as helping to explain many complex, real-world puzzles. In this volume, it is brought to bear on phenomena as diverse as the principles of legal compensation, the equity premium puzzle in financial markets, and the number of hours that New York cab drivers choose to drive on rainy days. Theoretically elegant and empirically robust, this volume shows how prospect theory has matured into a new science of decision making.

Don't Think of an Elephant!

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Publisher : Scribe Publications
ISBN 13 : 1920769455
Total Pages : 145 pages
Book Rating : 4.9/5 (27 download)

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Book Synopsis Don't Think of an Elephant! by : George Lakoff

Download or read book Don't Think of an Elephant! written by George Lakoff and published by Scribe Publications. This book was released on 2005 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Don't Think of An Elephant is the antidote to decades of conservative strategising and the right's stranglehold on political dialogue. More specifically, it is the definitive handbook for understanding and communicating effectively about key social and political issues. George Lakoff explains in detail exactly how the right has managed to co-opt traditional values in order to popularise its political agenda. He also provides examples of how the centre-left can address the community's core values and re-frame political debate to establish a civil discourse that reinforces progressive positions. Don't Think of An Elephant provides a compelling linguistic analysis of political campaigning. But, more importantly, it demonstrates that real political values and ideas must provide the foundation for political progress by the centre-left.

Frames and Bases

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Author :
Publisher : Birkhäuser
ISBN 13 : 9780817646776
Total Pages : 313 pages
Book Rating : 4.6/5 (467 download)

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Book Synopsis Frames and Bases by : Ole Christensen

Download or read book Frames and Bases written by Ole Christensen and published by Birkhäuser. This book was released on 2008-07-02 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last several years, frames have become increasingly popular; they have appeared in a large number of applications, and several concrete constructions of frames of various types have been presented. Most of these constructions were based on quite direct methods rather than the classical sufficient conditions for obtaining a frame. Consequently, there is a need for an updated book on frames, which moves the focus from the classical approach to a more constructive one. Based on a streamlined presentation of the author's previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers. Newly added sections on applications will help mathematically oriented readers to see where frames are used in practice and engineers to discover the mathematical background for applications in their field. Key features and topics: * Results presented in an accessible way for graduate students, pure and applied mathematicians as well as engineers. * An introductory chapter provides basic results in finite-dimensional vector spaces, enabling readers with a basic knowledge of linear algebra to understand the idea behind frames without the technical complications in infinite-dimensional spaces. * Extensive exercises for use in theoretical graduate courses on bases and frames, or applications-oriented courses focusing on either Gabor analysis or wavelets. * Detailed description of frames with full proofs, an examination of the relationship between frames and Riesz bases, and a discussion of various ways to construct frames. * Content split naturally into two parts: The first part describes the theory on an abstract level, whereas the second part deals with explicit constructions of frames with applications and connections to time-frequency analysis, Gabor analysis, and wavelets. Frames and Bases: An Introductory Course will be an excellent textbook for graduate students as well as a good reference for researchers working in pure and applied mathematics, mathematical physics, and engineering. Practitioners working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find the book a useful self-study resource.

An Introduction to Picture Framing

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Author :
Publisher :
ISBN 13 : 9781850762485
Total Pages : 128 pages
Book Rating : 4.7/5 (624 download)

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Book Synopsis An Introduction to Picture Framing by : Vivien Frank

Download or read book An Introduction to Picture Framing written by Vivien Frank and published by . This book was released on 1990 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: