Trends In Harmonic Analysis And Its Applications

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Trends in Harmonic Analysis and Its Applications

Jens G. Christensen,Susanna Dann,Azita Mayeli,Gestur Ólafsson
Trends in Harmonic Analysis and Its Applications Book PDF

Author : Jens G. Christensen,Susanna Dann,Azita Mayeli,Gestur Ólafsson
Publisher : American Mathematical Soc.
Page : 209 pages
File Size : 41,7 Mb
Release : 2015-10-27
Category : Harmonic analysis
ISBN : 9781470418793

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Trends in Harmonic Analysis and Its Applications by Jens G. Christensen,Susanna Dann,Azita Mayeli,Gestur Ólafsson Pdf

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications held March 29-30, 2014, at the University of Maryland, Baltimore County, Baltimore, MD. It provides an in depth look at the many directions taken by experts in Harmonic Analysis and related areas. The papers cover topics such as frame theory, Gabor analysis, interpolation and Besov spaces on compact manifolds, Cuntz-Krieger algebras, reproducing kernel spaces, solenoids, hypergeometric shift operators and analysis on infinite dimensional groups. Expositions are by leading researchers in the field, both young and established. The papers consist of new results or new approaches to solutions, and at the same time provide an introduction into the respective subjects.

Trends in Harmonic Analysis and Its Applications

Jens G. Christensen
Trends in Harmonic Analysis and Its Applications Book PDF

Author : Jens G. Christensen
Publisher : Unknown
Page : 218 pages
File Size : 43,7 Mb
Release : 2012
Category : Harmonic analysis
ISBN : 147042777X

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Trends in Harmonic Analysis and Its Applications by Jens G. Christensen Pdf

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications, held March 29-30, 2014, at the University of Maryland, Baltimore County, Baltimore, MD. It provides an in depth look at the many directions taken by experts in Harmonic Analysis and related areas. The papers cover topics such as frame theory, Gabor analysis, interpolation and Besov spaces on compact manifolds, Cuntz-Krieger algebras, reproducing kernel spaces, solenoids, hypergeometric shift operators and analysis on infinite dimensional groups. Expositions are by leading researchers in the field, both young and established. The papers consist of new results or new approaches to solutions, and at the same time provide an introduction into the respective subjects

New Trends in Applied Harmonic Analysis, Volume 2

Akram Aldroubi,Carlos Cabrelli,Stéphane Jaffard,Ursula Molter
New Trends in Applied Harmonic Analysis Volume 2 Book PDF

Author : Akram Aldroubi,Carlos Cabrelli,Stéphane Jaffard,Ursula Molter
Publisher : Springer Nature
Page : 335 pages
File Size : 46,7 Mb
Release : 2019-11-26
Category : Mathematics
ISBN : 9783030323530

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New Trends in Applied Harmonic Analysis, Volume 2 by Akram Aldroubi,Carlos Cabrelli,Stéphane Jaffard,Ursula Molter Pdf

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.

Recent Developments in Harmonic Analysis and its Applications

Shaoming Guo,Zane Kun Li,Brian Street
Recent Developments in Harmonic Analysis and its Applications Book PDF

Author : Shaoming Guo,Zane Kun Li,Brian Street
Publisher : American Mathematical Society
Page : 182 pages
File Size : 50,6 Mb
Release : 2024-01-24
Category : Mathematics
ISBN : 9781470471408

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Recent Developments in Harmonic Analysis and its Applications by Shaoming Guo,Zane Kun Li,Brian Street Pdf

This volume contains the proceedings of the virtual AMS Special Session on Harmonic Analysis, held from March 26–27, 2022. Harmonic analysis has gone through rapid developments in the past decade. New tools, including multilinear Kakeya inequalities, broad-narrow analysis, polynomial methods, decoupling inequalities, and refined Strichartz inequalities, are playing a crucial role in resolving problems that were previously considered out of reach. A large number of important works in connection with geometric measure theory, analytic number theory, partial differential equations, several complex variables, etc., have appeared in the last few years. This book collects some examples of this work.

Trends in Harmonic Analysis

Massimo A. Picardello
Trends in Harmonic Analysis Book PDF

Author : Massimo A. Picardello
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 53,7 Mb
Release : 2012-12-05
Category : Mathematics
ISBN : 9788847028531

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Trends in Harmonic Analysis by Massimo A. Picardello Pdf

This book illustrates the wide range of research subjects developed by the Italian research group in harmonic analysis, originally started by Alessandro Figà-Talamanca, to whom it is dedicated in the occasion of his retirement. In particular, it outlines some of the impressive ramifications of the mathematical developments that began when Figà-Talamanca brought the study of harmonic analysis to Italy; the research group that he nurtured has now expanded to cover many areas. Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in far-reaching applications as for instance cellular automata and signal processing (low-discrepancy sampling, Gaussian noise).

Operator Theory and Harmonic Analysis

Alexey N. Karapetyants,Vladislav V. Kravchenko,Elijah Liflyand,Helmuth R. Malonek
Operator Theory and Harmonic Analysis Book PDF

Author : Alexey N. Karapetyants,Vladislav V. Kravchenko,Elijah Liflyand,Helmuth R. Malonek
Publisher : Springer Nature
Page : 585 pages
File Size : 41,8 Mb
Release : 2021-09-27
Category : Mathematics
ISBN : 9783030774936

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Operator Theory and Harmonic Analysis by Alexey N. Karapetyants,Vladislav V. Kravchenko,Elijah Liflyand,Helmuth R. Malonek Pdf

This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the first in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University in Rostov-on-Don, Russia. This volume is focused on general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topic is related to the study of complex multiparameter objects required when considering operators and objects with variable parameters.

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 : 40,7 Mb
Release : 2016-04-21
Category : Mathematics
ISBN : 9783319278735

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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.

Recent Advances in Harmonic Analysis and Applications

Dmitriy Bilyk,Laura De Carli,Alexander Petukhov,Alexander M. Stokolos,Brett D. Wick
Recent Advances in Harmonic Analysis and Applications Book PDF

Author : Dmitriy Bilyk,Laura De Carli,Alexander Petukhov,Alexander M. Stokolos,Brett D. Wick
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 40,7 Mb
Release : 2012-10-16
Category : Mathematics
ISBN : 9781461445647

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Recent Advances in Harmonic Analysis and Applications by Dmitriy Bilyk,Laura De Carli,Alexander Petukhov,Alexander M. Stokolos,Brett D. Wick Pdf

Recent Advances in Harmonic Analysis and Applications features selected contributions from the AMS conference which took place at Georgia Southern University, Statesboro in 2011 in honor of Professor Konstantin Oskolkov's 65th birthday. The contributions are based on two special sessions, namely "Harmonic Analysis and Applications" and "Sparse Data Representations and Applications." Topics covered range from Banach space geometry to classical harmonic analysis and partial differential equations. Survey and expository articles by leading experts in their corresponding fields are included, and the volume also features selected high quality papers exploring new results and trends in Muckenhoupt-Sawyer theory, orthogonal polynomials, trigonometric series, approximation theory, Bellman functions and applications in differential equations. Graduate students and researchers in analysis will be particularly interested in the articles which emphasize remarkable connections between analysis and analytic number theory. The readers will learn about recent mathematical developments and directions for future work in the unexpected and surprising interaction between abstract problems in additive number theory and experimentally discovered optical phenomena in physics. This book will be useful for number theorists, harmonic analysts, algorithmists in multi-dimensional signal processing and experts in physics and partial differential equations.

Harmonic and Complex Analysis and its Applications

Alexander Vasil'ev
Harmonic and Complex Analysis and its Applications Book PDF

Author : Alexander Vasil'ev
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 40,5 Mb
Release : 2013-11-09
Category : Mathematics
ISBN : 9783319018065

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Harmonic and Complex Analysis and its Applications by Alexander Vasil'ev Pdf

This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.

Knot Theory and Its Applications

Krishnendu Gongopadhyay,Rama Mishra
Knot Theory and Its Applications Book PDF

Author : Krishnendu Gongopadhyay,Rama Mishra
Publisher : American Mathematical Soc.
Page : 357 pages
File Size : 49,7 Mb
Release : 2016-09-21
Category : Knot theory
ISBN : 9781470422578

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Knot Theory and Its Applications by Krishnendu Gongopadhyay,Rama Mishra Pdf

This volume contains the proceedings of the ICTS program Knot Theory and Its Applications (KTH-2013), held from December 10–20, 2013, at IISER Mohali, India. The meeting focused on the broad area of knot theory and its interaction with other disciplines of theoretical science. The program was divided into two parts. The first part was a week-long advanced school which consisted of minicourses. The second part was a discussion meeting that was meant to connect the school to the modern research areas. This volume consists of lecture notes on the topics of the advanced school, as well as surveys and research papers on current topics that connect the lecture notes with cutting-edge research in the broad area of knot theory.

Excursions in Harmonic Analysis, Volume 3

Radu Balan,Matthew J. Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Excursions in Harmonic Analysis Volume 3 Book PDF

Author : Radu Balan,Matthew J. Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Publisher : Birkhäuser
Page : 336 pages
File Size : 53,7 Mb
Release : 2015-06-02
Category : Mathematics
ISBN : 9783319132303

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Excursions in Harmonic Analysis, Volume 3 by Radu Balan,Matthew J. Begué,John J. Benedetto,Wojciech Czaja,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 – 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.

Trends in Harmonic Analysis

Massimo A. Picardello
Trends in Harmonic Analysis Book PDF

Author : Massimo A. Picardello
Publisher : Springer
Page : 448 pages
File Size : 53,7 Mb
Release : 2012-12-05
Category : Mathematics
ISBN : 884702854X

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Trends in Harmonic Analysis by Massimo A. Picardello Pdf

This book illustrates the wide range of research subjects developed by the Italian research group in harmonic analysis, originally started by Alessandro Figà-Talamanca, to whom it is dedicated in the occasion of his retirement. In particular, it outlines some of the impressive ramifications of the mathematical developments that began when Figà-Talamanca brought the study of harmonic analysis to Italy; the research group that he nurtured has now expanded to cover many areas. Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in far-reaching applications as for instance cellular automata and signal processing (low-discrepancy sampling, Gaussian noise).

Harmonic Analysis: Smooth and Non-smooth

Palle E.T. Jorgensen
Harmonic Analysis Smooth and Non smooth Book PDF

Author : Palle E.T. Jorgensen
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 55,9 Mb
Release : 2018-10-30
Category : Harmonic analysis
ISBN : 9781470448806

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Harmonic Analysis: Smooth and Non-smooth by Palle E.T. Jorgensen Pdf

There is a recent and increasing interest in harmonic analysis of non-smooth geometries. Real-world examples where these types of geometry appear include large computer networks, relationships in datasets, and fractal structures such as those found in crystalline substances, light scattering, and other natural phenomena where dynamical systems are present. Notions of harmonic analysis focus on transforms and expansions and involve dual variables. In this book on smooth and non-smooth harmonic analysis, the notion of dual variables will be adapted to fractals. In addition to harmonic analysis via Fourier duality, the author also covers multiresolution wavelet approaches as well as a third tool, namely, L2 spaces derived from appropriate Gaussian processes. The book is based on a series of ten lectures delivered in June 2018 at a CBMS conference held at Iowa State University.

Frames and Harmonic Analysis

Yeonhyang Kim,Sivaram K. Narayan,Gabriel Picioroaga,Eric S. Weber
Frames and Harmonic Analysis Book PDF

Author : Yeonhyang Kim,Sivaram K. Narayan,Gabriel Picioroaga,Eric S. Weber
Publisher : American Mathematical Soc.
Page : 343 pages
File Size : 40,8 Mb
Release : 2018-04-27
Category : Education
ISBN : 9781470436193

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Frames and Harmonic Analysis by Yeonhyang Kim,Sivaram K. Narayan,Gabriel Picioroaga,Eric S. Weber Pdf

This volume contains the proceedings of the AMS Special Sessions on Frames, Wavelets and Gabor Systems and Frames, Harmonic Analysis, and Operator Theory, held from April 16-17, 2016, at North Dakota State University in Fargo, North Dakota. The papers appearing in this volume cover frame theory and applications in three specific contexts: frame constructions and applications, Fourier and harmonic analysis, and wavelet theory.

Excursions in Harmonic Analysis, Volume 4

Radu Balan,Matthew Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Excursions in Harmonic Analysis Volume 4 Book PDF

Author : Radu Balan,Matthew Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Publisher : Birkhäuser
Page : 428 pages
File Size : 52,7 Mb
Release : 2015-10-20
Category : Mathematics
ISBN : 9783319201887

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Excursions in Harmonic Analysis, Volume 4 by Radu Balan,Matthew Begué,John J. Benedetto,Wojciech Czaja,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 – 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: Special Topics in Harmonic Analysis Applications and Algorithms in the Physical Sciences Gabor Theory RADAR and Communications: Design, Theory, and Applications 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.