Harmonic Analysis In Phase Space Am 122 Volume 122

Author : Gerald B. Folland
Publisher : Princeton University Press
Page : 288 pages
File Size : 49,9 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882427

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Harmonic Analysis in Phase Space. (AM-122), Volume 122 by Gerald B. Folland Pdf

This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.

Author : G. B. Folland
Publisher : Princeton University Press
Page : 292 pages
File Size : 51,9 Mb
Release : 1989-03-21
Category : Mathematics
ISBN : 0691085285

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Harmonic Analysis in Phase Space by G. B. Folland Pdf

This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.

Author : Valery V. Volchkov,Vitaly V. Volchkov
Publisher : Springer Science & Business Media
Page : 667 pages
File Size : 44,9 Mb
Release : 2009-06-13
Category : Mathematics
ISBN : 9781848825338

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Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group by Valery V. Volchkov,Vitaly V. Volchkov Pdf

The theory of mean periodic functions is a subject which goes back to works of Littlewood, Delsarte, John and that has undergone a vigorous development in recent years. There has been much progress in a number of problems concerning local - pects of spectral analysis and spectral synthesis on homogeneous spaces. The study oftheseproblemsturnsouttobecloselyrelatedtoavarietyofquestionsinharmonic analysis, complex analysis, partial differential equations, integral geometry, appr- imation theory, and other branches of contemporary mathematics. The present book describes recent advances in this direction of research. Symmetric spaces and the Heisenberg group are an active ?eld of investigation at 2 the moment. The simplest examples of symmetric spaces, the classical 2-sphere S 2 and the hyperbolic plane H , play familiar roles in many areas in mathematics. The n Heisenberg groupH is a principal model for nilpotent groups, and results obtained n forH may suggest results that hold more generally for this important class of Lie groups. The purpose of this book is to develop harmonic analysis of mean periodic functions on the above spaces.

Author : Irene Sabadini,Daniele C. Struppa
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 51,5 Mb
Release : 2012-04-23
Category : Mathematics
ISBN : 9788847019478

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The Mathematical Legacy of Leon Ehrenpreis by Irene Sabadini,Daniele C. Struppa Pdf

Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which were his collaborators.

Author : Lokenath Debnath
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200253

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Wavelets and Signal Processing by Lokenath Debnath Pdf

Provides a digest of the current developments, open questions and unsolved problems likely to determine a new frontier for future advanced study and research in the rapidly growing areas of wavelets, wavelet transforms, signal analysis, and signal and image processing. Ideal reference work for advanced students and practitioners in wavelets, and wavelet transforms, signal processing and time-frequency signal analysis. Professionals working in electrical and computer engineering, applied mathematics, computer science, biomedical engineering, physics, optics, and fluid mechanics will also find the book a valuable resource.

Author : Elena Cordero,Luigi Rodino
Publisher : Walter de Gruyter GmbH & Co KG
Page : 458 pages
File Size : 50,5 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.

Author : Nalini Anantharaman,Ashkan Nikeghbali,Michael Th. Rassias
Publisher : Springer Nature
Page : 449 pages
File Size : 52,5 Mb
Release : 2020-11-21
Category : Mathematics
ISBN : 9783030564094

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Frontiers in Analysis and Probability by Nalini Anantharaman,Ashkan Nikeghbali,Michael Th. Rassias Pdf

The volume presents extensive research devoted to a broad spectrum of mathematical analysis and probability theory. Subjects discussed in this Work are those treated in the so-called Strasbourg–Zürich Meetings. These meetings occur twice yearly in each of the cities, Strasbourg and Zürich, venues of vibrant mathematical communication and worldwide gatherings. The topical scope of the book includes the study of monochromatic random waves defined for general Riemannian manifolds, notions of entropy related to a compact manifold of negative curvature, interacting electrons in a random background, lp-cohomology (in degree one) of a graph and its connections with other topics, limit operators for circular ensembles, polyharmonic functions for finite graphs and Markov chains, the ETH-Approach to Quantum Mechanics, 2-dimensional quantum Yang–Mills theory, Gibbs measures of nonlinear Schrödinger equations, interfaces in spectral asymptotics and nodal sets. Contributions in this Work are composed by experts from the international community, who have presented the state-of-the-art research in the corresponding problems treated. This volume is expected to be a valuable resource to both graduate students and research mathematicians working in analysis, probability as well as their interconnections and applications.

Author : Luigi Accardi,Farrukh Mukhamedov,Ahmed Al Rawashdeh
Publisher : Springer Nature
Page : 369 pages
File Size : 55,6 Mb
Release : 2022-10-04
Category : Mathematics
ISBN : 9783031061707

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Infinite Dimensional Analysis, Quantum Probability and Applications by Luigi Accardi,Farrukh Mukhamedov,Ahmed Al Rawashdeh Pdf

This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021. The works cover recent developments in quantum probability and infinite dimensional analysis, with a special focus on applications to mathematical physics and quantum information theory. Covered topics include white noise theory, quantum field theory, quantum Markov processes, free probability, interacting Fock spaces, and more. By emphasizing the interconnection and interdependence of such research topics and their real-life applications, this reputed conference has set itself as a distinguished forum to communicate and discuss new findings in truly relevant aspects of theoretical and applied mathematics, notably in the field of mathematical physics, as well as an event of choice for the promotion of mathematical applications that address the most relevant problems found in industry. That makes this volume a suitable reading not only for researchers and graduate students with an interest in the field but for practitioners as well.

Author : Julio Delgado,Michael Ruzhansky
Publisher : Springer
Page : 269 pages
File Size : 51,8 Mb
Release : 2019-01-27
Category : Mathematics
ISBN : 9783030056575

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Analysis and Partial Differential Equations: Perspectives from Developing Countries by Julio Delgado,Michael Ruzhansky Pdf

This volume presents current trends in analysis and partial differential equations from researchers in developing countries. The fruit of the project 'Analysis in Developing Countries', whose aim was to bring together researchers from around the world, the volume also includes some contributions from researchers from developed countries. Focusing on topics in analysis related to partial differential equations, this volume contains selected contributions from the activities of the project at Imperial College London, namely the conference on Analysis and Partial Differential Equations held in September 2016 and the subsequent Official Development Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudo-differential operators, integral equations, as well as related topics from numerical analysis and bifurcation theory, and the countries represented range from Burkina Faso and Ghana to Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as well as India and China. Suitable for postgraduate students and beyond, this volume offers the reader a broader, global perspective of contemporary research in analysis.

Author : Harald Atmanspacher,Emmanuel Haven,Kirsty Kitto,Derek Raine
Publisher : Springer
Page : 358 pages
File Size : 42,8 Mb
Release : 2014-04-17
Category : Computers
ISBN : 9783642549434

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Quantum Interaction by Harald Atmanspacher,Emmanuel Haven,Kirsty Kitto,Derek Raine Pdf

This book constitutes the refereed proceedings of the 7th International Conference on Quantum Interaction, QI 2013, held in Leicester, UK, in July 2013. The 31 papers presented in this book were carefully selected from numerous submissions. The papers cover various topics on quantum interaction and revolve around four themes: information processing/retrieval/semantic representation and logic; cognition and decision making; finance/economics and social structures and biological systems.

Author : Lokenath Debnath
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461201373

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Wavelet Transforms and Time-Frequency Signal Analysis by Lokenath Debnath Pdf

The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, and engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998. Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments, open questions, and unsolved problems in this rapidly growing and important field. As a follow-up project, this monograph was developed from manuscripts sub mitted by renowned mathematicians and scientists who have made important contributions to the subject of wavelets, wavelet transforms, and time-frequency signal analysis. This publication brings together current developments in the theory and applications of wavelet transforms and in the field of time-frequency signal analysis that are likely to determine fruitful directions for future advanced study and research.

Author : Christophe Besse,Jean-Claude Garreau
Publisher : Springer
Page : 338 pages
File Size : 41,9 Mb
Release : 2015-08-26
Category : Science
ISBN : 9783319190150

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Nonlinear Optical and Atomic Systems by Christophe Besse,Jean-Claude Garreau Pdf

Focusing on the interface between mathematics and physics, this book offers an introduction to the physics, the mathematics, and the numerical simulation of nonlinear systems in optics and atomic physics. The text covers a wide spectrum of current research on the subject, which is an extremely active field in physics and mathematical physics, with a very broad range of implications, both for fundamental science and technological applications: light propagation in microstructured optical fibers, Bose-Einstein condensates, disordered systems, and the newly emerging field of nonlinear quantum mechanics. Accessible to PhD students, this book will also be of interest to post-doctoral researchers and seasoned academics.

Author : Catherine Donati-Martin,Antoine Lejay,Alain Rouault
Publisher : Springer
Page : 619 pages
File Size : 40,7 Mb
Release : 2015-09-07
Category : Mathematics
ISBN : 9783319185859

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In Memoriam Marc Yor - Séminaire de Probabilités XLVII by Catherine Donati-Martin,Antoine Lejay,Alain Rouault Pdf

This volume is dedicated to the memory of Marc Yor, who passed away in 2014. The invited contributions by his collaborators and former students bear testament to the value and diversity of his work and of his research focus, which covered broad areas of probability theory. The volume also provides personal recollections about him, and an article on his essential role concerning the Doeblin documents. With contributions by P. Salminen, J-Y. Yen & M. Yor; J. Warren; T. Funaki; J. Pitman& W. Tang; J-F. Le Gall; L. Alili, P. Graczyk & T. Zak; K. Yano & Y. Yano; D. Bakry & O. Zribi; A. Aksamit, T. Choulli & M. Jeanblanc; J. Pitman; J. Obloj, P. Spoida & N. Touzi; P. Biane; J. Najnudel; P. Fitzsimmons, Y. Le Jan & J. Rosen; L.C.G. Rogers & M. Duembgen; E. Azmoodeh, G. Peccati & G. Poly, timP-L Méliot, A. Nikeghbali; P. Baldi; N. Demni, A. Rouault & M. Zani; N. O'Connell; N. Ikeda & H. Matsumoto; A. Comtet & Y. Tourigny; P. Bougerol; L. Chaumont; L. Devroye & G. Letac; D. Stroock and M. Emery.

Author : Sylvain Cappell
Publisher : Princeton University Press
Page : 452 pages
File Size : 54,5 Mb
Release : 2000
Category : Electronic
ISBN : 0691088144

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Surveys on surgery theory : papers dedicated to C.T.C. Wall. by Sylvain Cappell Pdf

Author : Didier Arnal,Bradley Currey
Publisher : Cambridge University Press
Page : 463 pages
File Size : 42,6 Mb
Release : 2020-04-16
Category : Mathematics
ISBN : 9781108428095

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Representations of Solvable Lie Groups and their Applications by Didier Arnal,Bradley Currey Pdf

A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.