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Noncommutative Harmonic Analysis

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Noncommutative Harmonic Analysis

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Author : Michael Eugene Taylor
language : en
Publisher: American Mathematical Soc.
Release Date : 1986

Noncommutative Harmonic Analysis written by Michael Eugene Taylor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

Explores some basic roles of Lie groups in linear analysis, with particular emphasis on the generalizations of the Fourier transform and the study of partial differential equations.

Noncommutative Harmonic Analysis With Applications To Probability

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Author : Marek Bożejko
language : en
Publisher:
Release Date : 2007

Noncommutative Harmonic Analysis With Applications To Probability written by Marek Bożejko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Free probability theory categories.

Engineering Applications Of Noncommutative Harmonic Analysis

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Author : Gregory S. Chirikjian
language : en
Publisher: CRC Press
Release Date : 2021-02-25

Engineering Applications Of Noncommutative Harmonic Analysis written by Gregory S. Chirikjian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-25 with Mathematics categories.

First published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.

The Scope And History Of Commutative And Noncommutative Harmonic Analysis

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Author : George W. Mackey
language : en
Publisher: American Mathematical Soc.
Release Date : 2005-04-08

The Scope And History Of Commutative And Noncommutative Harmonic Analysis written by George W. Mackey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-08 with Mathematics categories.

''When I was invited to speak at the conference on the history of analysis given at Rice University [in 1977], I decided that it might be interesting to review the history of mathematics and physics in the last three hundred years or so with heavy emphasis on those parts in which harmonic analysis had played a decisive or at least a major role. I was pleased and somewhat astonished to find how much of both subjects could be included under this rubric ... The picture that gradually emerged as the various details fell into place was one that I found very beautiful, and the process of seeing it do so left me in an almost constant state of euphoria. I would like to believe that others can be led to see this picture by reading my paper, and to facilitate this I have included a large number of short expositions of topics which are not widely understood by non-specialists.'' --from the Preface This volume, containing the paper mentioned above as well as five other reprinted papers by Mackey, presents a sweeping view of the importance, utility, and beauty of harmonic analysis and its connections to other areas of mathematics and science. A seventh paper, written exclusively for this volume, attempts to unify certain themes that emerged after major discoveries in 1967 and 1968 in the areas of Lie algebras, strong interaction physics, statistical mechanics, and nonlinear partial differential equations--discoveries that may at first glance appear to be independent, but which are in fact deeply interrelated. Information for our distributors: Copublished with the London Mathematical Society beginning with volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

Noncommutative Harmonic Analysis

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Author : Patrick Delorme
language : en
Publisher: Springer Science & Business Media
Release Date : 2004

Noncommutative Harmonic Analysis written by Patrick Delorme and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.

Noncommutative Harmonic Analysis

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Author : Michael E. Taylor
language : en
Publisher: American Mathematical Society(RI)
Release Date : 1986

Noncommutative Harmonic Analysis written by Michael E. Taylor and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Harmonic analysis categories.

Explores some basic roles of Lie groups in linear analysis, with particular emphasis on the generalizations of the Fourier transform and the study of partial differential equations.

Representation Theory And Noncommutative Harmonic Analysis I

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Author : A.A. Kirillov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Representation Theory And Noncommutative Harmonic Analysis I written by A.A. Kirillov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite- and infinite-dimensional representations of Lie groups. It is a typical feature of this survey that the structure of the theory is carefully exposed - the reader can easily see the essence of the theory without being overwhelmed by details. The final chapter is devoted to the method of orbits for different types of groups. Part II deals with representation of Virasoro and Kac-Moody algebra. The second part of the book deals with representations of Virasoro and Kac-Moody algebra. The wealth of recent results on representations of infinite-dimensional groups is presented.

Noncommutative Harmonic Analysis

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Author : Patrick Delorme
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Noncommutative Harmonic Analysis

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Author : Patrick Delorme
language : en
Publisher:
Release Date : 2011-03-30

Noncommutative Harmonic Analysis written by Patrick Delorme and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-30 with categories.

Aspects Of Representation Theory And Noncommutative Harmonic Analysis

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Author : Jean H Gallier
language : en
Publisher: World Scientific
Release Date : 2025-01-17

Aspects Of Representation Theory And Noncommutative Harmonic Analysis written by Jean H Gallier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-17 with Mathematics categories.

This book presents the theory of harmonic analysis for noncommutative compact groups. If G is a commutative locally compact group, there is a well-understood theory of harmonic analysis as discussed in Aspects of Harmonic Analysis on Locally Compact Abelian Groups. If G is not commutative, things are a lot tougher. In the special case of a compact group, there is a deep interplay between analysis and representation theory which was first discovered by Hermann Weyl and refined by Andre Weil. This book presents these seminal results of Weyl and Weil.Starting with the basics of representations theory, it presents the famous Peter-Weyl theorems and discusses Fourier analysis on compact groups. This book also introduces the reader to induced representations of locally compact groups, induced representations of G-bundles, and the theory of Gelfand pairs. A special feature is the chapter on equivariant convolutional neural networks (CNNs), a chapter which shows how many of the abstract concepts of representations, analysis on compact groups, Peter-Weyl theorems, Fourier transform, induced representations are used to tackle very practical, modern-day problems.

Noncommutative Harmonic Analysis

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