Functional Analysis Harmonic Analysis And Image Processing A Collection Of Papers In Honor Of Björn Jawerth

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Functional Analysis, Harmonic Analysis, and Image Processing: A Collection of Papers in Honor of Björn Jawerth

Michael Cwikel,Mario Milman
Functional Analysis Harmonic Analysis and Image Processing A Collection of Papers in Honor of Bj rn Jawerth Book PDF

Author : Michael Cwikel,Mario Milman
Publisher : American Mathematical Soc.
Page : 411 pages
File Size : 53,5 Mb
Release : 2017-07-26
Category : Fourier analysis
ISBN : 9781470428365

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Functional Analysis, Harmonic Analysis, and Image Processing: A Collection of Papers in Honor of Björn Jawerth by Michael Cwikel,Mario Milman Pdf

This volume is dedicated to the memory of Björn Jawerth. It contains original research contributions and surveys in several of the areas of mathematics to which Björn made important contributions. Those areas include harmonic analysis, image processing, and functional analysis, which are of course interrelated in many significant and productive ways. Among the contributors are some of the world's leading experts in these areas. With its combination of research papers and surveys, this book may become an important reference and research tool. This book should be of interest to advanced graduate students and professional researchers in the areas of functional analysis, harmonic analysis, image processing, and approximation theory. It combines articles presenting new research with insightful surveys written by foremost experts.

Functional Analysis, Harmonic Analysis, and Image Processing

Michael Cwikel,Mario Milman
Functional Analysis Harmonic Analysis and Image Processing Book PDF

Author : Michael Cwikel,Mario Milman
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 2017
Category : Fourier analysis
ISBN : 1470441667

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Functional Analysis, Harmonic Analysis, and Image Processing by Michael Cwikel,Mario Milman Pdf

This volume is dedicated to the memory of Björn Jawerth. It contains original research contributions and surveys in several of the areas of mathematics to which Björn made important contributions. Those areas include harmonic analysis, image processing, and functional analysis, which are of course interrelated in many significant and productive ways. Among the contributors are some of the world's leading experts in these areas. With its combination of research papers and surveys, this book may become an important reference and research tool. This book should be of interest to advanced graduate.

Excursions in Harmonic Analysis, Volume 6

Matthew Hirn,Shidong Li,Kasso A. Okoudjou,Sandra Saliani,Özgür Yilmaz
Excursions in Harmonic Analysis Volume 6 Book PDF

Author : Matthew Hirn,Shidong Li,Kasso A. Okoudjou,Sandra Saliani,Özgür Yilmaz
Publisher : Springer Nature
Page : 444 pages
File Size : 41,9 Mb
Release : 2021-09-01
Category : Mathematics
ISBN : 9783030696375

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Excursions in Harmonic Analysis, Volume 6 by Matthew Hirn,Shidong Li,Kasso A. Okoudjou,Sandra Saliani,Özgür Yilmaz Pdf

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.

The Dirichlet Space and Related Function Spaces

Nicola Arcozzi,Richard Rochberg,Eric T. Sawyer,Brett D. Wick
The Dirichlet Space and Related Function Spaces Book PDF

Author : Nicola Arcozzi,Richard Rochberg,Eric T. Sawyer,Brett D. Wick
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 50,7 Mb
Release : 2019-09-03
Category : Dirichlet principle
ISBN : 9781470450823

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The Dirichlet Space and Related Function Spaces by Nicola Arcozzi,Richard Rochberg,Eric T. Sawyer,Brett D. Wick Pdf

The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. The theory is related to such important themes as multipliers, reproducing kernels, and Besov spaces, among others. The authors present the theory of the Dirichlet space and related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several complex variables and the corona problem. The first part of this book is an introduction to the function theory and operator theory of the classical Dirichlet space, a space of holomorphic functions on the unit disk defined by a smoothness criterion. The Dirichlet space is also a Hilbert space with a reproducing kernel, and is the model for the dyadic Dirichlet space, a sequence space defined on the dyadic tree. These various viewpoints are used to study a range of topics including the Pick property, multipliers, Carleson measures, boundary values, zero sets, interpolating sequences, the local Dirichlet integral, shift invariant subspaces, and Hankel forms. Recurring themes include analogies, sometimes weak and sometimes strong, with the classical Hardy space; and the analogy with the dyadic Dirichlet space. The final chapters of the book focus on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional techniques are developed to work with the nonisotropic complex geometry, including a useful invariant definition of local oscillation and a sophisticated variation on the dyadic Dirichlet space. Descriptions are obtained of multipliers, Carleson measures, interpolating sequences, and multiplier interpolating sequences; estimates are obtained to prove corona theorems.

Lectures on Analytic Function Spaces and their Applications

Javad Mashreghi
Lectures on Analytic Function Spaces and their Applications Book PDF

Author : Javad Mashreghi
Publisher : Springer Nature
Page : 426 pages
File Size : 46,6 Mb
Release : 2023-11-14
Category : Mathematics
ISBN : 9783031335723

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Lectures on Analytic Function Spaces and their Applications by Javad Mashreghi Pdf

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins—the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)—have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. More explicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces.

Embeddings of Decomposition Spaces

Felix Voigtlaender
Embeddings of Decomposition Spaces Book PDF

Author : Felix Voigtlaender
Publisher : American Mathematical Society
Page : 268 pages
File Size : 55,5 Mb
Release : 2023-07-31
Category : Mathematics
ISBN : 9781470459901

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Embeddings of Decomposition Spaces by Felix Voigtlaender Pdf

View the abstract. https://www.ams.org/bookstore/pspdf/memo-287-1426-abstract.pdf

Operator and Norm Inequalities and Related Topics

Richard M. Aron,Mohammad Sal Moslehian,Ilya M. Spitkovsky,Hugo J. Woerdeman
Operator and Norm Inequalities and Related Topics Book PDF

Author : Richard M. Aron,Mohammad Sal Moslehian,Ilya M. Spitkovsky,Hugo J. Woerdeman
Publisher : Springer Nature
Page : 822 pages
File Size : 54,8 Mb
Release : 2022-08-10
Category : Mathematics
ISBN : 9783031021046

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Operator and Norm Inequalities and Related Topics by Richard M. Aron,Mohammad Sal Moslehian,Ilya M. Spitkovsky,Hugo J. Woerdeman Pdf

Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades. Some chapters are devoted to giving a series of new characterizations of operator monotone functions and some others explore inequalities connected to log-majorization, relative operator entropy, and the Ando-Hiai inequality. Several chapters are focused on Birkhoff–James orthogonality and approximate orthogonality in Banach spaces and operator algebras such as C*-algebras from historical perspectives to current development. A comprehensive account of the boundedness, compactness, and restrictions of Toeplitz operators can be found in the book. Furthermore, an overview of the Bishop-Phelps-Bollobás theorem is provided. The state-of-the-art of Hardy-Littlewood inequalities in sequence spaces is given. The chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.

Concentration Compactness

Cyril Tintarev
Concentration Compactness Book PDF

Author : Cyril Tintarev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 251 pages
File Size : 48,9 Mb
Release : 2020-02-10
Category : Mathematics
ISBN : 9783110530582

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Concentration Compactness by Cyril Tintarev Pdf

Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This monograph presents a systematic functional-analytic presentation of concentration mechanisms and is by far the most extensive and systematic collection of mathematical tools for analyzing the convergence of functional sequences via the mechanism of concentration.

Landscapes of Time-Frequency Analysis

Paolo Boggiatto,Tommaso Bruno,Elena Cordero,Hans G. Feichtinger,Fabio Nicola,Alessandro Oliaro,Anita Tabacco,Maria Vallarino
Landscapes of Time Frequency Analysis Book PDF

Author : Paolo Boggiatto,Tommaso Bruno,Elena Cordero,Hans G. Feichtinger,Fabio Nicola,Alessandro Oliaro,Anita Tabacco,Maria Vallarino
Publisher : Springer Nature
Page : 208 pages
File Size : 49,6 Mb
Release : 2020-11-21
Category : Mathematics
ISBN : 9783030560058

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Landscapes of Time-Frequency Analysis by Paolo Boggiatto,Tommaso Bruno,Elena Cordero,Hans G. Feichtinger,Fabio Nicola,Alessandro Oliaro,Anita Tabacco,Maria Vallarino Pdf

This contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA 19), held at Politecnico di Torino from June 25th to June 27th, 2019. Written by experts in harmonic analysis and its applications, these chapters provide a valuable overview of the state-of-the-art of this active area of research. New results are collected as well, making this a valuable resource for readers seeking to be brought up-to-date. Topics covered include: Signal analysis Quantum theory Modulation space theory Applications to the medical industry Wavelet transform theory Anti-Wick operators Landscapes of Time-Frequency Analysis: ATFA 2019 will be of particular interest to researchers and advanced students working in time-frequency analysis and other related areas of harmonic analysis.

Theory of Function Spaces IV

Hans Triebel
Theory of Function Spaces IV Book PDF

Author : Hans Triebel
Publisher : Springer Nature
Page : 160 pages
File Size : 51,5 Mb
Release : 2020-01-23
Category : Mathematics
ISBN : 9783030358914

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Theory of Function Spaces IV by Hans Triebel Pdf

This book is the continuation of the "Theory of Function Spaces" trilogy, published by the same author in this series and now part of classic literature in the area of function spaces. It can be regarded as a supplement to these volumes and as an accompanying book to the textbook by D.D. Haroske and the author "Distributions, Sobolev spaces, elliptic equations".

Harmonic Analysis

Min-Teh Cheng,Xing-Wei Zhou,Dong-Gao Deng
Harmonic Analysis Book PDF

Author : Min-Teh Cheng,Xing-Wei Zhou,Dong-Gao Deng
Publisher : Springer
Page : 240 pages
File Size : 44,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540464747

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Harmonic Analysis by Min-Teh Cheng,Xing-Wei Zhou,Dong-Gao Deng Pdf

All papers in this volume are original (fully refereed) research reports by participants of the special program on Harmonic Analysis held in the Nankai Institute of Mathematics. The main themes include: Wavelets, Singular Integral Operators, Extemal Functions, H Spaces, Harmonic Analysis on Local Domains and Lie Groups, and so on. See also :G. David "Wavelets and Singular Integrals on Curves and Surfaces", LNM 1465,1991. FROM THE CONTENTS: D.C. Chang: Nankai Lecture in -Neumann Problem.- T.P. Chen, D.Z. Zhang: Oscillary Integral with Polynomial Phase.- D.G. Deng, Y.S. Han: On a Generalized Paraproduct Defined by Non-Convolution.- Y.S. Han: H Boundedness of Calderon-Zygmund Operators for Product Domains.- Z.X. Liu, S.Z. Lu: Applications of H|rmander Multiplier Theorem to Approximation in Real Hardy Spaces.- R.L. Long, F.S. Nie: Weighted Sobolev Inequality and Eigenvalue Estimates of Schr|dinger Operator.- A. McIntosh, Q. Tao: Convolution Singular Integral Operators on Lipschitz Curves.- Z.Y. Wen, L.M.Wu, Y.P. Zhang: Set of Zeros of Harmonic Functions of Two Variables.- C.K. Yuan: On the Structures of Locally Compact Groups Admitting Inner Invariant Means.

Mathematical Image Processing

Kristian Bredies,Dirk Lorenz
Mathematical Image Processing Book PDF

Author : Kristian Bredies,Dirk Lorenz
Publisher : Birkhäuser
Page : 473 pages
File Size : 55,8 Mb
Release : 2019-02-28
Category : Mathematics
ISBN : 3030014576

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Mathematical Image Processing by Kristian Bredies,Dirk Lorenz Pdf

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)

Excursions in Harmonic Analysis, Volume 5

Radu Balan,John J. Benedetto,Wojciech Czaja,Matthew Dellatorre,Kasso A. Okoudjou
Excursions in Harmonic Analysis Volume 5 Book PDF

Author : Radu Balan,John J. Benedetto,Wojciech Czaja,Matthew Dellatorre,Kasso A. Okoudjou
Publisher : Birkhäuser
Page : 338 pages
File Size : 53,9 Mb
Release : 2017-06-20
Category : Mathematics
ISBN : 9783319547114

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Excursions in Harmonic Analysis, Volume 5 by Radu Balan,John J. Benedetto,Wojciech Czaja,Matthew Dellatorre,Kasso A. Okoudjou Pdf

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.

Frames and Other Bases in Abstract and Function Spaces

Isaac Pesenson,Quoc Thong Le Gia,Azita Mayeli,Hrushikesh Mhaskar,Ding-Xuan Zhou
Frames and Other Bases in Abstract and Function Spaces Book PDF

Author : Isaac Pesenson,Quoc Thong Le Gia,Azita Mayeli,Hrushikesh Mhaskar,Ding-Xuan Zhou
Publisher : Birkhäuser
Page : 438 pages
File Size : 51,8 Mb
Release : 2018-08-02
Category : Mathematics
ISBN : 3319856928

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Frames and Other Bases in Abstract and Function Spaces by Isaac Pesenson,Quoc Thong Le Gia,Azita Mayeli,Hrushikesh Mhaskar,Ding-Xuan Zhou Pdf

The first 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 I is organized around the theme of frames and other bases in abstract and function spaces, covering topics such as: The advanced development of frames, including Sigma-Delta quantization for fusion frames, localization of frames, and frame conditioning, as well as applications to distributed sensor networks, Galerkin-like representation of operators, scaling on graphs, and dynamical sampling. A systematic approach to shearlets with applications to wavefront sets and function spaces. Prolate and generalized prolate functions, spherical Gauss-Laguerre basis functions, and radial basis functions. Kernel methods, wavelets, and frames on compact and non-compact manifolds.

New Trends in Applied Harmonic Analysis

Akram Aldroubi,Carlos Cabrelli,Stephane Jaffard,Ursula Molter
New Trends in Applied Harmonic Analysis Book PDF

Author : Akram Aldroubi,Carlos Cabrelli,Stephane Jaffard,Ursula Molter
Publisher : Birkhäuser
Page : 334 pages
File Size : 50,6 Mb
Release : 2018-04-22
Category : Mathematics
ISBN : 3319802321

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New Trends in Applied Harmonic Analysis by Akram Aldroubi,Carlos Cabrelli,Stephane Jaffard,Ursula Molter Pdf

This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved through the resolution of deep theoretical problems in harmonic analysis. New Trends in Applied Harmonic Analysis focuses on two particularly active areas that are representative of such advances: multifractal analysis, and sparse representation and compressed sensing. The contributions are written by leaders in these areas, and cover both theoretical aspects and applications. This work should prove useful not only to PhD students and postdocs in mathematics and signal and image processing, but also to researchers working in related topics.