Excursions in Harmonic Analysis, Volume 3

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Publisher : Birkhäuser
ISBN 13 : 331913230X
Total Pages : 344 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Excursions in Harmonic Analysis, Volume 3 by : Radu Balan

Download or read book Excursions in Harmonic Analysis, Volume 3 written by Radu Balan and published by Birkhäuser. This book was released on 2015-06-02 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include · spectral analysis and correlation; · radar and communications: design, theory, and applications; · sparsity · special topics in harmonic analysis. The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Excursions in Harmonic Analysis, Volume 1

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817683763
Total Pages : 489 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Excursions in Harmonic Analysis, Volume 1 by : Travis D Andrews

Download or read book Excursions in Harmonic Analysis, Volume 1 written by Travis D Andrews and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Excursions in Harmonic Analysis

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Publisher :
ISBN 13 : 9780817683801
Total Pages : 476 pages
Book Rating : 4.6/5 (838 download)

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Book Synopsis Excursions in Harmonic Analysis by : Springer

Download or read book Excursions in Harmonic Analysis written by Springer and published by . This book was released on 2013-01-04 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Excursions in Harmonic Analysis, Volume 2

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Publisher : Springer Science & Business Media
ISBN 13 : 0817683798
Total Pages : 461 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Excursions in Harmonic Analysis, Volume 2 by : Travis D Andrews

Download or read book Excursions in Harmonic Analysis, Volume 2 written by Travis D Andrews and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Excursions in Harmonic Analysis

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Publisher :
ISBN 13 : 9780817683771
Total Pages : 502 pages
Book Rating : 4.6/5 (837 download)

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Book Synopsis Excursions in Harmonic Analysis by : Springer

Download or read book Excursions in Harmonic Analysis written by Springer and published by . This book was released on 2013-01-04 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Excursions in Harmonic Analysis, Volume 5

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Publisher : Birkhäuser
ISBN 13 : 3319547119
Total Pages : 346 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Excursions in Harmonic Analysis, Volume 5 by : Radu Balan

Download or read book Excursions in Harmonic Analysis, Volume 5 written by Radu Balan and published by Birkhäuser. This book was released on 2017-06-20 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include: Theoretical harmonic analysis Image and signal processing Quantization Algorithms and representations The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Advances in Microlocal and Time-Frequency Analysis

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Publisher : Springer Nature
ISBN 13 : 3030361381
Total Pages : 533 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Advances in Microlocal and Time-Frequency Analysis by : Paolo Boggiatto

Download or read book Advances in Microlocal and Time-Frequency Analysis written by Paolo Boggiatto and published by Springer Nature. This book was released on 2020-03-03 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume gathers contributions to the conference Microlocal and Time-Frequency Analysis 2018 (MLTFA18), which was held at Torino University from the 2nd to the 6th of July 2018. The event was organized in honor of Professor Luigi Rodino on the occasion of his 70th birthday. The conference’s focus and the contents of the papers reflect Luigi’s various research interests in the course of his long and extremely prolific career at Torino University.

Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science

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Publisher : Birkhäuser
ISBN 13 : 3319555561
Total Pages : 512 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science by : Isaac Pesenson

Download or read book Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science written by Isaac Pesenson and published by Birkhäuser. This book was released on 2017-08-09 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as: The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems. Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets. Applications of harmonic analysis to data science and statistics Boundary-value problems for PDE's including the Runge–Walsh theorem for the oblique derivative problem of physical geodesy.

Convergence and Summability of Fourier Transforms and Hardy Spaces

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Publisher : Birkhäuser
ISBN 13 : 3319568140
Total Pages : 446 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Convergence and Summability of Fourier Transforms and Hardy Spaces by : Ferenc Weisz

Download or read book Convergence and Summability of Fourier Transforms and Hardy Spaces written by Ferenc Weisz and published by Birkhäuser. This book was released on 2017-12-27 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known summability methods, such as the Fejér, Riesz, Weierstrass, Abel, Picard, Bessel and Rogosinski summations. Following on the classic books by Bary (1964) and Zygmund (1968), this is the first book that considers strong summability introduced by current methodology. A further unique aspect is that the Lebesgue points are also studied in the theory of multi-dimensional summability. In addition to classical results, results from the past 20-30 years – normally only found in scattered research papers – are also gathered and discussed, offering readers a convenient “one-stop” source to support their work. As such, the book will be useful for researchers, graduate and postgraduate students alike.

Metrics, Norms, Inner Products, and Operator Theory

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Publisher : Birkhäuser
ISBN 13 : 3319653229
Total Pages : 374 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Metrics, Norms, Inner Products, and Operator Theory by : Christopher Heil

Download or read book Metrics, Norms, Inner Products, and Operator Theory written by Christopher Heil and published by Birkhäuser. This book was released on 2018-08-28 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a self-contained introduction to the three main families that we encounter in analysis – metric spaces, normed spaces, and inner product spaces – and to the operators that transform objects in one into objects in another. With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the “science of functions.” Many important topics that are rarely presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, Schauder bases for Banach spaces, the dual of lp topological isomorphisms, the Spectral Theorem, the Baire Category Theorem, and the Uniform Boundedness Principle. The text is constructed in such a way that instructors have the option whether to include more advanced topics. Written in an appealing and accessible style, Metrics, Norms, Inner Products, and Operator Theory is suitable for independent study or as the basis for an undergraduate-level course. Instructors have several options for building a course around the text depending on the level and interests of their students. Key features: Aimed at students who have a basic knowledge of undergraduate real analysis. All of the required background material is reviewed in the first chapter. Suitable for undergraduate-level courses; no familiarity with measure theory is required. Extensive exercises complement the text and provide opportunities for learning by doing. A separate solutions manual is available for instructors via the Birkhäuser website (www.springer.com/978-3-319-65321-1). Unique text providing an undergraduate-level introduction to metrics, norms, inner products, and their associated operator theory.

Mathematical Image Processing

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Publisher : Springer
ISBN 13 : 3030014584
Total Pages : 473 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Mathematical Image Processing by : Kristian Bredies

Download or read book Mathematical Image Processing written by Kristian Bredies and published by Springer. This book was released on 2019-02-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the mathematical aspects of modern image processing methods, with a special emphasis on the underlying ideas and concepts. It discusses a range of modern mathematical methods used to accomplish basic imaging tasks such as denoising, deblurring, enhancing, edge detection and inpainting. In addition to elementary methods like point operations, linear and morphological methods, and methods based on multiscale representations, the book also covers more recent methods based on partial differential equations and variational methods. Review of the German Edition: The overwhelming impression of the book is that of a very professional presentation of an appropriately developed and motivated textbook for a course like an introduction to fundamentals and modern theory of mathematical image processing. Additionally, it belongs to the bookcase of any office where someone is doing research/application in image processing. It has the virtues of a good and handy reference manual. (zbMATH, reviewer: Carl H. Rohwer, Stellenbosch)

Compressed Sensing and its Applications

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Publisher : Birkhäuser
ISBN 13 : 3319698028
Total Pages : 402 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Compressed Sensing and its Applications by : Holger Boche

Download or read book Compressed Sensing and its Applications written by Holger Boche and published by Birkhäuser. This book was released on 2018-01-17 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume contains articles written by the plenary and invited speakers from the second international MATHEON Workshop 2015 that focus on applications of compressed sensing. Article authors address their techniques for solving the problems of compressed sensing, as well as connections to related areas like detecting community-like structures in graphs, curbatures on Grassmanians, and randomized tensor train singular value decompositions. Some of the novel applications covered include dimensionality reduction, information theory, random matrices, sparse approximation, and sparse recovery. This book is aimed at both graduate students and researchers in the areas of applied mathematics, computer science, and engineering, as well as other applied scientists exploring the potential applications for the novel methodology of compressed sensing. An introduction to the subject of compressed sensing is also provided for researchers interested in the field who are not as familiar with it.

Excursions in Harmonic Analysis, Volume 6

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Publisher : Springer Nature
ISBN 13 : 3030696375
Total Pages : 444 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Excursions in Harmonic Analysis, Volume 6 by : Matthew Hirn

Download or read book Excursions in Harmonic Analysis, Volume 6 written by Matthew Hirn and published by Springer Nature. This book was released on 2021-09-01 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by leading researchers in the field and pay tribute to John’s many significant and lasting achievements. Covering a wide range of topics in harmonic analysis and related areas, these chapters are organized into four main parts: harmonic analysis, wavelets and frames, sampling and signal processing, and compressed sensing and optimization. An introductory chapter also provides a brief overview of John’s life and mathematical career. This volume will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Explorations in the Mathematics of Data Science

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Publisher : Springer Nature
ISBN 13 : 3031664973
Total Pages : 294 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Explorations in the Mathematics of Data Science by : Simon Foucart

Download or read book Explorations in the Mathematics of Data Science written by Simon Foucart and published by Springer Nature. This book was released on with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modulation Spaces

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Publisher : Springer Nature
ISBN 13 : 1071603329
Total Pages : 177 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Modulation Spaces by : Árpád Bényi

Download or read book Modulation Spaces written by Árpád Bényi and published by Springer Nature. This book was released on 2020-02-22 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces. By gathering together state-of-the-art developments and previously unexplored applications, readers will be motivated to make effective use of this topic in future research. Because modulation spaces have historically only received a cursory treatment, this book will fill a gap in time-frequency analysis literature, and offer readers a convenient and timely resource. Foundational concepts and definitions in functional, harmonic, and real analysis are reviewed in the first chapter, which is then followed by introducing modulation spaces. The focus then expands to the many valuable applications of modulation spaces, such as linear and multilinear pseudodifferential operators, and dispersive partial differential equations. Because it is almost entirely self-contained, these insights will be accessible to a wide audience of interested readers. Modulation Spaces will be an ideal reference for researchers in time-frequency analysis and nonlinear partial differential equations. It will also appeal to graduate students and seasoned researchers who seek an introduction to the time-frequency analysis of nonlinear dispersive partial differential equations.

Sampling: Theory and Applications

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Publisher : Springer Nature
ISBN 13 : 3030362914
Total Pages : 210 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Sampling: Theory and Applications by : Stephen D. Casey

Download or read book Sampling: Theory and Applications written by Stephen D. Casey and published by Springer Nature. This book was released on 2020-05-20 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters of this volume are based on talks given at the eleventh international Sampling Theory and Applications conference held in 2015 at American University in Washington, D.C. The papers highlight state-of-the-art advances and trends in sampling theory and related areas of application, such as signal and image processing. Chapters have been written by prominent mathematicians, applied scientists, and engineers with an expertise in sampling theory. Claude Shannon’s 100th birthday is also celebrated, including an introductory essay that highlights Shannon’s profound influence on the field. The topics covered include both theory and applications, such as: • Compressed sensing• Non-uniform and wave sampling• A-to-D conversion• Finite rate of innovation• Time-frequency analysis• Operator theory• Mobile sampling issues Sampling: Theory and Applications is ideal for mathematicians, engineers, and applied scientists working in sampling theory or related areas.

Functions of Bounded Variation and Their Fourier Transforms

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Publisher : Springer
ISBN 13 : 3030044297
Total Pages : 194 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Functions of Bounded Variation and Their Fourier Transforms by : Elijah Liflyand

Download or read book Functions of Bounded Variation and Their Fourier Transforms written by Elijah Liflyand and published by Springer. This book was released on 2019-03-06 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform. This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series.