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Noncommutative Microlocal Analysis

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Noncommutative Microlocal Analysis

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Author : Michael E. Taylor
language : en
Publisher: Amer Mathematical Society
Release Date : 1984

Noncommutative Microlocal Analysis written by Michael E. Taylor and has been published by Amer Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.

The main goal of this monograph is to develop a theory of pseudodifferential operators adaptable to problems in noncommutative harmonic analysis. The author's point of view is to try to make the analogy with the case of pseudodifferential operators on [double-struck capital]R[superscript italic]n as close as possible by exploiting the group Fourier transform and associated symbol calculus.

Noncommutative Microlocal Analysis

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Author : Michael E. Taylor
language : en
Publisher: American Mathematical Soc.
Release Date : 1984

Noncommutative Microlocal Analysis written by Michael E. 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 1984 with Mathematics categories.

Noncommutative Microlocal Analysis

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Author : Michael E. Taylor
language : en
Publisher: Amer Mathematical Society
Release Date : 2005-10-06

Noncommutative Microlocal Analysis

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Author :
language : en
Publisher:
Release Date : 1984

Noncommutative Microlocal Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Differential equations, Hypoelliptic categories.

Microlocal Analysis

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Author : M. Salah Baouendi
language : en
Publisher:
Release Date : 1984

Microlocal Analysis written by M. Salah Baouendi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.

This volume is the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Microlocal Analysis and its Applications to Partial Differential Equations, held July 10-16, 1983 in Boulder, Colorado. It contains refereed articles which were delivered at the conference. Two of the papers are survey articles, one on uniqueness and non-uniqueness in the Cauchy problem and one on hypoanalytic structures; the rest are either detailed announcements or complete papers covering such areas as spectrum of operators, nonlinear problems, asymptotics, pseudodifferential operators of multiple characteristics and operators on groups and homogeneous spaces. The volume should be useful to active mathematicians and graduate students working on linear and nonlinear partial differential equations and related areas.

Analysis And Partial Differential Equations Perspectives From Developing Countries

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Author : Julio Delgado
language : en
Publisher: Springer
Release Date : 2019-01-27

Analysis And Partial Differential Equations Perspectives From Developing Countries written by Julio Delgado and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-27 with Mathematics categories.

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.

Harmonic Analysis In Phase Space Am 122 Volume 122

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Author : Gerald B. Folland
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Harmonic Analysis In Phase Space Am 122 Volume 122 written by Gerald B. Folland and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.

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.

Motives Quantum Field Theory And Pseudodifferential Operators

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Author : Alan L. Carey
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Motives Quantum Field Theory And Pseudodifferential Operators written by Alan L. Carey 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 2010 with Mathematics categories.

This volume contains articles related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the National Science Foundation. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The introductory lectures are suitable for graduate students and new Ph.D.'s in both mathematics and theoretical physics, as well as for senior researchers, since few mathematicians are expert in any two of the conference areas. Among the topics discussed in the introductory lectures are the appearance of multiple zeta values both as periods of motives and in Feynman integral calculations in perturbative QFT, the use of Hopf algebra techniques for renormalization in QFT, and regularized traces of pseudodifferential operators. The motivic interpretation of multiple zeta values points to a fundamental link between motives and QFT, and there are strong parallels between regularized traces and Feynman integral techniques. The research articles cover a range of topics in areas related to the conference themes, including geometric, Hopf algebraic, analytic, motivic and computational aspects of quantum field theory and mirror symmetry. There is no unifying theory of the conference areas at present, so the research articles present the current state of the art pointing towards such a unification.

Pseudo Differential Operators And Symmetries

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Author : Michael Ruzhansky
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-29

Pseudo Differential Operators And Symmetries written by Michael Ruzhansky 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 2009-12-29 with Mathematics categories.

This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di?erential operators but also to show parallels between di?erent approaches to pseudo-di?erential operators on di?erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the ?rst time. However, di?erent spaces on which we develop the theory of pseudo-di?er- tial operators require di?erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie groups will certainly bene?t from a good grasp of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di?erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.

Feynman S Operational Calculus And Beyond

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Author : Gerald W Johnson
language : en
Publisher: OUP Oxford
Release Date : 2015-08-06

Feynman S Operational Calculus And Beyond written by Gerald W Johnson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-06 with Science categories.

This book is aimed at providing a coherent, essentially self-contained, rigorous and comprehensive abstract theory of Feynman's operational calculus for noncommuting operators. Although it is inspired by Feynman's original heuristic suggestions and time-ordering rules in his seminal 1951 paper An operator calculus having applications in quantum electrodynamics, as will be made abundantly clear in the introduction (Chapter 1) and elsewhere in the text, the theory developed in this book also goes well beyond them in a number of directions which were not anticipated in Feynman's work. Hence, the second part of the main title of this book. The basic properties of the operational calculus are developed and certain algebraic and analytic properties of the operational calculus are explored. Also, the operational calculus will be seen to possess some pleasant stability properties. Furthermore, an evolution equation and a generalized integral equation obeyed by the operational calculus are discussed and connections with certain analytic Feynman integrals are noted. This volume is essentially self-contained and we only assume that the reader has a reasonable, graduate level, background in analysis, measure theory and functional analysis or operator theory. Much of the necessary remaining background is supplied in the text itself.

Noncommutative Microlocal Analysis

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