Operator Related Function Theory And Time Frequency Analysis

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Operator-Related Function Theory and Time-Frequency Analysis

Karlheinz Gröchenig,Yurii Lyubarskii,Kristian Seip
Operator Related Function Theory and Time Frequency Analysis Book PDF

Author : Karlheinz Gröchenig,Yurii Lyubarskii,Kristian Seip
Publisher : Springer
Page : 195 pages
File Size : 40,6 Mb
Release : 2014-11-25
Category : Mathematics
ISBN : 9783319085579

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Operator-Related Function Theory and Time-Frequency Analysis by Karlheinz Gröchenig,Yurii Lyubarskii,Kristian Seip Pdf

This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis; and the profound interplay between them. Among the original contributions and overview lectures gathered here are a paper presenting multifractal analysis as a bridge between geometric measure theory and signal processing; local and global geometry of Prony systems and Fourier reconstruction of piecewise-smooth functions; Bernstein's problem on weighted polynomial approximation; singular distributions and symmetry of the spectrum; and many others. Offering a selection of the latest and most exciting results obtained by world-leading researchers, the book will benefit scientists working in Harmonic and Complex Analysis, Mathematical Physics and Signal Processing.

Foundations of Time-Frequency Analysis

Karlheinz Gröchenig
Foundations of Time Frequency Analysis Book PDF

Author : Karlheinz Gröchenig
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 51,5 Mb
Release : 2013-12-01
Category : Technology & Engineering
ISBN : 9781461200031

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Foundations of Time-Frequency Analysis by Karlheinz Gröchenig Pdf

Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those parts of mathematics and its applications that use the struc ture of translations and modulations (or time-frequency shifts) for the anal ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. The topics range from the elemen tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita tive methods in time-frequency analysis and the theory of pseudodifferential operators. This book is motivated by applications in signal analysis and quantum mechanics, but it is not about these applications. The main ori entation is toward the detailed mathematical investigation of the rich and elegant structures underlying time-frequency analysis. Time-frequency analysis originates in the early development of quantum mechanics by H. Weyl, E. Wigner, and J. von Neumann around 1930, and in the theoretical foundation of information theory and signal analysis by D.

Time-Frequency Analysis of Operators

Elena Cordero,Luigi Rodino
Time Frequency Analysis of Operators Book PDF

Author : Elena Cordero,Luigi Rodino
Publisher : Walter de Gruyter GmbH & Co KG
Page : 458 pages
File Size : 44,5 Mb
Release : 2020-09-21
Category : Mathematics
ISBN : 9783110532456

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Time-Frequency Analysis of Operators by Elena Cordero,Luigi Rodino Pdf

This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity of their Gabor representations. Moreover, Gabor frames and modulation spaces are employed to study dispersive equations such as the Schrödinger, wave, and heat equations and related Strichartz problems. The first part of the book is addressed to non-experts, presenting the basics of time-frequency analysis: short time Fourier transform, Wigner distribution and other representations, function spaces and frames theory, and it can be read independently as a short text-book on this topic from graduate and under-graduate students, or scholars in other disciplines.

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 : 40,7 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.

Fourier Analysis

Michael Ruzhansky,Ville Turunen
Fourier Analysis Book PDF

Author : Michael Ruzhansky,Ville Turunen
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 49,7 Mb
Release : 2014-01-18
Category : Mathematics
ISBN : 9783319025506

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Fourier Analysis by Michael Ruzhansky,Ville Turunen Pdf

This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis. It is based on lectures given at the international conference “Fourier Analysis and Pseudo-Differential Operators,” June 25–30, 2012, at Aalto University, Finland. This collection of 20 refereed articles is based on selected talks and presents the latest advances in the field. The conference was a satellite meeting of the 6th European Congress of Mathematics, which took place in Krakow in July 2012; it was also the 6th meeting in the series “Fourier Analysis and Partial Differential Equations.”

Function Spaces, Theory and Applications

Ilia Binder,Damir Kinzebulatov,Javad Mashreghi
Function Spaces Theory and Applications Book PDF

Author : Ilia Binder,Damir Kinzebulatov,Javad Mashreghi
Publisher : Springer Nature
Page : 487 pages
File Size : 50,7 Mb
Release : 2024-01-12
Category : Mathematics
ISBN : 9783031392702

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Function Spaces, Theory and Applications by Ilia Binder,Damir Kinzebulatov,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 also have several essential applications in other fields of mathematics and engineering, e.g., robust control engineering, signal and image processing, and theory of communication. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins, e.g. the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b), have also been the center of attention in the past two decades. Studying the Hilbert spaces of analytic functions and the operators acting on them, as well as their applications in other parts of mathematics or engineering were the main subjects of this program. During the program, the world leading experts on function spaces gathered and discussed the new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With more than 250 hours of lectures by prominent mathematicians, a wide variety of topics were covered. More explicitly, there were mini-courses and workshops on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Blaschke Products and Inner Functions, Discrete and Continuous Semigroups of Composition Operators, The Corona Problem, Non-commutative Function Theory, Drury-Arveson Space, and Convergence of Scattering Data and Non-linear Fourier Transform. At the end of each week, there was a high profile colloquium talk on the current topic. The program also contained two semester-long advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. The current volume features a more detailed version of some of the talks presented during the program.

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)

María Cristina Pereyra,Stefania Marcantognini,Alexander M. Stokolos,Wilfredo Urbina
Harmonic Analysis Partial Differential Equations Banach Spaces and Operator Theory Volume 2 Book PDF

Author : María Cristina Pereyra,Stefania Marcantognini,Alexander M. Stokolos,Wilfredo Urbina
Publisher : Springer
Page : 460 pages
File Size : 42,5 Mb
Release : 2017-07-10
Category : Mathematics
ISBN : 9783319515939

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Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) by María Cristina Pereyra,Stefania Marcantognini,Alexander M. Stokolos,Wilfredo Urbina Pdf

This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included. The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6,2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional scientist and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.

Time Frequency Analysis

Boualem Boashash
Time Frequency Analysis Book PDF

Author : Boualem Boashash
Publisher : Elsevier
Page : 770 pages
File Size : 53,6 Mb
Release : 2003-10-16
Category : Technology & Engineering
ISBN : 9780080543055

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Time Frequency Analysis by Boualem Boashash Pdf

Time Frequency Signal Analysis and Processing covers fundamental concepts, principles and techniques, treatment of specialised and advanced topics, methods and applications, including results of recent research. This book deals with the modern methodologies, key techniques and concepts that form the core of new technologies used in IT, multimedia, telecommunications as well as most fields of engineering, science and technology. It focuses on advanced techniques and methods that allow a refined extraction and processing of information, allowing efficient and effective decision making that would not be possible with classical techniques. The Author, fellow of IEEE for Pioneering contributions to time-frequency analysis and signal processing education, is an expert in the field, having written over 300 papers on the subject over a period pf 25 years. This is a REAL book, not a mere collection of specialised papers, making it essential reading for researchers and practitioners in the field of signal processing. *The most comprehensive text and reference book published on the subject, all the most up to date research on this subject in one place *Key computer procedures and code are provided to assist the reader with practical implementations and applications *This book brings together the main knowledge of time-frequency signal analysis and processing, (TFSAP), from theory and applications, in a user-friendly reference suitable for both experts and beginners

Diophantine Approximation and Dirichlet Series

Hervé Queffélec,Martine Queffélec
Diophantine Approximation and Dirichlet Series Book PDF

Author : Hervé Queffélec,Martine Queffélec
Publisher : Springer Nature
Page : 300 pages
File Size : 45,9 Mb
Release : 2021-01-27
Category : Mathematics
ISBN : 9789811593512

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Diophantine Approximation and Dirichlet Series by Hervé Queffélec,Martine Queffélec Pdf

The second edition of the book includes a new chapter on the study of composition operators on the Hardy space and their complete characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition operators, and connections between these two domains which often occur through the Kronecker approximation theorem and the Bohr lift. The book initially discusses Harmonic analysis, including a sharp form of the uncertainty principle, Ergodic theory and Diophantine approximation, basics on continued fractions expansions, and the mixing property of the Gauss map and goes on to present the general theory of Dirichlet series with classes of examples connected to continued fractions, Bohr lift, sharp forms of the Bohnenblust–Hille theorem, Hardy–Dirichlet spaces, composition operators of the Hardy–Dirichlet space, and much more. Proofs throughout the book mix Hilbertian geometry, complex and harmonic analysis, number theory, and ergodic theory, featuring the richness of analytic theory of Dirichlet series. This self-contained book benefits beginners as well as researchers.

Fractal Geometry and Stochastics V

Christoph Bandt,Kenneth Falconer,Martina Zähle
Fractal Geometry and Stochastics V Book PDF

Author : Christoph Bandt,Kenneth Falconer,Martina Zähle
Publisher : Birkhäuser
Page : 340 pages
File Size : 46,8 Mb
Release : 2015-07-08
Category : Mathematics
ISBN : 9783319186603

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Fractal Geometry and Stochastics V by Christoph Bandt,Kenneth Falconer,Martina Zähle Pdf

This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five topical sections: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. Each part starts with a state-of-the-art survey followed by papers covering a specific aspect of the topic. The authors are leading world experts and present their topics comprehensibly and attractively. Both newcomers and specialists in the field will benefit from this book.

Analysis, Applications, and Computations

Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas
Analysis Applications and Computations Book PDF

Author : Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas
Publisher : Springer Nature
Page : 696 pages
File Size : 49,5 Mb
Release : 2023-12-01
Category : Mathematics
ISBN : 9783031363757

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Analysis, Applications, and Computations by Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas Pdf

This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.

Frames and Operator Theory in Analysis and Signal Processing

David R. Larson
Frames and Operator Theory in Analysis and Signal Processing Book PDF

Author : David R. Larson
Publisher : American Mathematical Soc.
Page : 306 pages
File Size : 47,9 Mb
Release : 2008
Category : Operator theory
ISBN : 9780821841440

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Frames and Operator Theory in Analysis and Signal Processing by David R. Larson Pdf

This volume contains articles based on talks presented at the Special Session Frames and Operator Theory in Analysis and Signal Processing, held in San Antonio, Texas, in January of 2006.

Recent Developments in Time-Frequency Analysis

Leon Cohen,Patrick Loughlin
Recent Developments in Time Frequency Analysis Book PDF

Author : Leon Cohen,Patrick Loughlin
Publisher : Springer Science & Business Media
Page : 147 pages
File Size : 47,7 Mb
Release : 1998-10-31
Category : Science
ISBN : 9780792383147

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Recent Developments in Time-Frequency Analysis by Leon Cohen,Patrick Loughlin Pdf

Recent Developments in Time-Frequency Analysis brings together in one place important contributions and up-to-date research results in this fast moving area. Recent Developments in Time-Frequency Analysis serves as an excellent reference, providing insight into some of the most challenging research issues in the field.

Advances in Microlocal and Time-Frequency Analysis

Paolo Boggiatto,Marco Cappiello,Elena Cordero,Sandro Coriasco,Gianluca Garello,Alessandro Oliaro,Jörg Seiler
Advances in Microlocal and Time Frequency Analysis Book PDF

Author : Paolo Boggiatto,Marco Cappiello,Elena Cordero,Sandro Coriasco,Gianluca Garello,Alessandro Oliaro,Jörg Seiler
Publisher : Springer Nature
Page : 533 pages
File Size : 42,5 Mb
Release : 2020-03-03
Category : Mathematics
ISBN : 9783030361389

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Advances in Microlocal and Time-Frequency Analysis by Paolo Boggiatto,Marco Cappiello,Elena Cordero,Sandro Coriasco,Gianluca Garello,Alessandro Oliaro,Jörg Seiler Pdf

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.

Landscapes of Time-Frequency Analysis

Paolo Boggiatto,Elena Cordero,Maurice De Gosson,Hans G. Feichtinger,Fabio Nicola,Alessandro Oliaro,Anita Tabacco
Landscapes of Time Frequency Analysis Book PDF

Author : Paolo Boggiatto,Elena Cordero,Maurice De Gosson,Hans G. Feichtinger,Fabio Nicola,Alessandro Oliaro,Anita Tabacco
Publisher : Unknown
Page : 347 pages
File Size : 42,9 Mb
Release : 2019
Category : Differential equations, Partial
ISBN : 3030052117

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Landscapes of Time-Frequency Analysis by Paolo Boggiatto,Elena Cordero,Maurice De Gosson,Hans G. Feichtinger,Fabio Nicola,Alessandro Oliaro,Anita Tabacco Pdf

The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2018, which brought together experts in harmonic analysis and its applications. New connections between different but related areas were presented in the context of time-frequency analysis, encouraging future research and collaborations. Some of the topics covered include: • Abstract harmonic analysis, • Numerical harmonic analysis, • Sampling theory, • Gabor analysis, • Time-frequency analysis, • Mathematical signal processing, • Pseudodifferential operators, and • Applications of harmonic analysis to quantum mechanics. Landscapes of Time-Frequency Analysis will be of particular interest to researchers and advanced students working in time-frequency analysis and other related areas of harmonic analysis.