Harmonic And Applied Analysis

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Harmonic and Applied Analysis

Author : Stephan Dahlke
Publisher : Birkhäuser
ISBN 13 : 3319188631
Total Pages : 268 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Harmonic and Applied Analysis by : Stephan Dahlke

Download or read book Harmonic and Applied Analysis written by Stephan Dahlke and published by Birkhäuser. This book was released on 2015-09-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics. This intertwining of ideas is considered starting from the theory of unitary group representations and leading to the construction of very efficient schemes for the analysis of multidimensional data. After an introductory chapter surveying the scientific significance of classical and more advanced multiscale methods, chapters cover such topics as An overview of Lie theory focused on common applications in signal analysis, including the wavelet representation of the affine group, the Schrödinger representation of the Heisenberg group, and the metaplectic representation of the symplectic group An introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spaces Microlocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional data Mathematical techniques to construct optimal data representations for a number of signal types, with a focus on the optimal approximation of functions governed by anisotropic singularities. A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented. Harmonic and Applied Analysis: From Groups to Signals is aimed at graduate students and researchers in the areas of harmonic analysis and applied mathematics, as well as at other applied scientists interested in representations of multidimensional data. It can also be used as a textbook for graduate courses in applied harmonic analysis.

Harmonic Analysis and Applications

Author : Carlos E. Kenig
Publisher : American Mathematical Soc.
ISBN 13 : 1470461277
Total Pages : 345 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Harmonic Analysis and Applications by : Carlos E. Kenig

Download or read book Harmonic Analysis and Applications written by Carlos E. Kenig and published by American Mathematical Soc.. This book was released on 2020-12-14 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.

Harmonic Analysis for Engineers and Applied Scientists

Author : Gregory S. Chirikjian
Publisher : Courier Dover Publications
ISBN 13 : 0486795640
Total Pages : 881 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Harmonic Analysis for Engineers and Applied Scientists by : Gregory S. Chirikjian

Download or read book Harmonic Analysis for Engineers and Applied Scientists written by Gregory S. Chirikjian and published by Courier Dover Publications. This book was released on 2016-07-20 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.

Harmonic Analysis and Applications

Author : John J. Benedetto
Publisher : CRC Press
ISBN 13 : 9780849378799
Total Pages : 370 pages
Book Rating : 4.3/5 (787 download)

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Book Synopsis Harmonic Analysis and Applications by : John J. Benedetto

Download or read book Harmonic Analysis and Applications written by John J. Benedetto and published by CRC Press. This book was released on 1996-07-29 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In Harmonic Analysis and Applications, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance, usefulness, and the intricacy and simplicity of the subject. This book is about classical harmonic analysis - a textbook suitable for students, and an essay and general reference suitable for mathematicians, physicists, and others who use harmonic analysis. Throughout the book, material is provided for an upper level undergraduate course in harmonic analysis and some of its applications. In addition, the advanced material in Harmonic Analysis and Applications is well-suited for graduate courses. The course is outlined in Prologue I. This course material is excellent, not only for students, but also for scientists, mathematicians, and engineers as a general reference. Chapter 1 covers the Fourier analysis of integrable and square integrable (finite energy) functions on R. Chapter 2 of the text covers distribution theory, emphasizing the theory's useful vantage point for dealing with problems and general concepts from engineering, physics, and mathematics. Chapter 3 deals with Fourier series, including the Fourier analysis of finite and infinite sequences, as well as functions defined on finite intervals. The mathematical presentation, insightful perspectives, and numerous well-chosen examples and exercises in Harmonic Analysis and Applications make this book well worth having in your collection.

Advances in Mathematical Finance

Author : Michael C. Fu
Publisher : Springer Science & Business Media
ISBN 13 : 0817645454
Total Pages : 345 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Advances in Mathematical Finance by : Michael C. Fu

Download or read book Advances in Mathematical Finance written by Michael C. Fu and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.

Harmonic Analysis And Wave Equations

Author : Jean-michel Coron
Publisher : World Scientific
ISBN 13 : 9811208387
Total Pages : 220 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Harmonic Analysis And Wave Equations by : Jean-michel Coron

Download or read book Harmonic Analysis And Wave Equations written by Jean-michel Coron and published by World Scientific. This book was released on 2019-08-19 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes for the LIASFMA School and Workshop on 'Harmonic Analysis and Wave Equations' which was held on May 8-18, 2017 at Fudan University, in Shanghai, China. The aim of the LIASFMA School and Workshop is to bring together Chinese and French experts to discuss and dissect recent progress in these related fields; and to disseminate state of art, new knowledge and new concepts, to graduate students and junior researchers.The book provides the readers with a unique and valuable opportunity to learn from and communicate with leading experts in nonlinear wave-type equations. The readers will witness the major development with the introduction of modern harmonic analysis and related techniques.

New Trends in Applied Harmonic Analysis, Volume 2

Author : Akram Aldroubi
Publisher : Springer Nature
ISBN 13 : 3030323536
Total Pages : 335 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis New Trends in Applied Harmonic Analysis, Volume 2 by : Akram Aldroubi

Download or read book New Trends in Applied Harmonic Analysis, Volume 2 written by Akram Aldroubi and published by Springer Nature. This book was released on 2019-11-26 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the University of Buenos Aires in August 2017. These articles highlight recent breakthroughs in both harmonic analysis and geometric measure theory, particularly focusing on their impact on image and signal processing. The wide range of expertise present in these articles will help readers contextualize how these breakthroughs have been instrumental in resolving deep theoretical problems. Some topics covered include: Gabor frames Falconer distance problem Hausdorff dimension Sparse inequalities Fractional Brownian motion Fourier analysis in geometric measure theory This volume is ideal for applied and pure mathematicians interested in the areas of image and signal processing. Electrical engineers and statisticians studying these fields will also find this to be a valuable resource.

Principles of Harmonic Analysis

Author : Anton Deitmar
Publisher : Springer
ISBN 13 : 3319057928
Total Pages : 330 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Principles of Harmonic Analysis by : Anton Deitmar

Download or read book Principles of Harmonic Analysis written by Anton Deitmar and published by Springer. This book was released on 2014-06-21 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.

Applied Analysis

Author : Cornelius Lanczos
Publisher : Courier Corporation
ISBN 13 : 048665656X
Total Pages : 576 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Applied Analysis by : Cornelius Lanczos

Download or read book Applied Analysis written by Cornelius Lanczos and published by Courier Corporation. This book was released on 1988-01-01 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.

Mathematics for Multimedia

Author : Mladen Victor Wickerhauser
Publisher : Springer Science & Business Media
ISBN 13 : 0817648801
Total Pages : 317 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematics for Multimedia by : Mladen Victor Wickerhauser

Download or read book Mathematics for Multimedia written by Mladen Victor Wickerhauser and published by Springer Science & Business Media. This book was released on 2009-10-30 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the mathematics that is foundational to multimedia applications. Featuring a rigorous survey of selected results from algebra and analysis, the work examines tools used to create application software for multimedia signal processing and communication. Replete with exercises, sample programs in Standard C, and numerous illustrations, Mathematics for Multimedia is an ideal textbook for upper undergraduate and beginning graduate students in computer science and mathematics who seek an innovative approach to contemporary mathematics with practical applications. The work may also serve as an invaluable reference for multimedia applications developers and all those interested in the mathematics underlying multimedia design and implementation.

Non-Abelian Harmonic Analysis

Author : Roger E. Howe
Publisher : Springer Science & Business Media
ISBN 13 : 1461392004
Total Pages : 271 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Non-Abelian Harmonic Analysis by : Roger E. Howe

Download or read book Non-Abelian Harmonic Analysis written by Roger E. Howe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly discusses the representation theory of the special linear group 8L(2, 1R), and some applications of this theory. In fact the emphasis is on the applications; the working title of the book while it was being writ ten was "Some Things You Can Do with 8L(2). " Some of the applications are outside representation theory, and some are to representation theory it self. The topics outside representation theory are mostly ones of substantial classical importance (Fourier analysis, Laplace equation, Huyghens' prin ciple, Ergodic theory), while the ones inside representation theory mostly concern themes that have been central to Harish-Chandra's development of harmonic analysis on semisimple groups (his restriction theorem, regularity theorem, character formulas, and asymptotic decay of matrix coefficients and temperedness). We hope this mix of topics appeals to nonspecialists in representation theory by illustrating (without an interminable prolegom ena) how representation theory can offer new perspectives on familiar topics and by offering some insight into some important themes in representation theory itself. Especially, we hope this book popularizes Harish-Chandra's restriction formula, which, besides being basic to his work, is simply a beautiful example of Fourier analysis on Euclidean space. We also hope representation theorists will enjoy seeing examples of how their subject can be used and will be stimulated by some of the viewpoints offered on representation-theoretic issues.

Harmonic Analysis and Applications

Author : Christopher Heil
Publisher : Springer Science & Business Media
ISBN 13 : 0817645047
Total Pages : 390 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Harmonic Analysis and Applications by : Christopher Heil

Download or read book Harmonic Analysis and Applications written by Christopher Heil and published by Springer Science & Business Media. This book was released on 2007-08-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained volume in honor of John J. Benedetto covers a wide range of topics in harmonic analysis and related areas. These include weighted-norm inequalities, frame theory, wavelet theory, time-frequency analysis, and sampling theory. The chapters are clustered by topic to provide authoritative expositions that will be of lasting interest. The original papers collected are written by prominent researchers and professionals in the field. The book pays tribute to John J. Benedetto’s achievements and expresses an appreciation for the mathematical and personal inspiration he has given to so many students, co-authors, and colleagues.

Four Short Courses on Harmonic Analysis

Author : Brigitte Forster
Publisher : Springer Science & Business Media
ISBN 13 : 0817648909
Total Pages : 265 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Four Short Courses on Harmonic Analysis by : Brigitte Forster

Download or read book Four Short Courses on Harmonic Analysis written by Brigitte Forster and published by Springer Science & Business Media. This book was released on 2010 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field. The work is the first one that combines spline theory, wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn. Four Short Courses on Harmonic Analysis is intended as a graduate-level textbook for courses or seminars on harmonic analysis and its applications. The work is also an excellent reference or self-study guide for researchers and practitioners with diverse mathematical backgrounds working in different fields such as pure and applied mathematics, image and signal processing engineering, mathematical physics, and communication theory.

Engineering Applications of Noncommutative Harmonic Analysis

Author : Gregory S. Chirikjian
Publisher : CRC Press
ISBN 13 : 1420041762
Total Pages : 698 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Engineering Applications of Noncommutative Harmonic Analysis by : Gregory S. Chirikjian

Download or read book Engineering Applications of Noncommutative Harmonic Analysis written by Gregory S. Chirikjian and published by CRC Press. This book was released on 2000-09-28 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is sti

Classical and Multilinear Harmonic Analysis

Author : Camil Muscalu
Publisher : Cambridge University Press
ISBN 13 : 1107031826
Total Pages : 341 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Classical and Multilinear Harmonic Analysis by : Camil Muscalu

Download or read book Classical and Multilinear Harmonic Analysis written by Camil Muscalu and published by Cambridge University Press. This book was released on 2013-01-31 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

Harmonic Analysis

Author : María Cristina Pereyra
Publisher : American Mathematical Soc.
ISBN 13 : 0821875663
Total Pages : 437 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Harmonic Analysis by : María Cristina Pereyra

Download or read book Harmonic Analysis written by María Cristina Pereyra and published by American Mathematical Soc.. This book was released on 2012 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conveys the remarkable beauty and applicability of the ideas that have grown from Fourier theory. It presents for an advanced undergraduate and beginning graduate student audience the basics of harmonic analysis, from Fourier's study of the heat equation, and the decomposition of functions into sums of cosines and sines (frequency analysis), to dyadic harmonic analysis, and the decomposition of functions into a Haar basis (time localization).

Time-Frequency Representations

Author : Richard Tolimieri
Publisher : Springer Science & Business Media
ISBN 13 : 9780817639181
Total Pages : 346 pages
Book Rating : 4.6/5 (391 download)

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Book Synopsis Time-Frequency Representations by : Richard Tolimieri

Download or read book Time-Frequency Representations written by Richard Tolimieri and published by Springer Science & Business Media. This book was released on 1997-12-18 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms are developed within this abstract setting without reference to coordinates or dimension, allowing the derivation of new algorithmic structures with significant importance to multidimensional problems and applications. In addition, tensor product representation is fully developed for the modeling of time-frequency computations.