Selected Papers on Harmonic Analysis, Groups, and Invariants

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821808405
Total Pages : 160 pages
Book Rating : 4.8/5 (84 download)

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Book Synopsis Selected Papers on Harmonic Analysis, Groups, and Invariants by : Katsumi Nomizu

Download or read book Selected Papers on Harmonic Analysis, Groups, and Invariants written by Katsumi Nomizu and published by American Mathematical Soc.. This book was released on 1997 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The five papers originally appeared in Japanese in the journal Sugaku and would ordinarily appear in the Society's translation of that journal, but are published separately here to expedite their dissemination. They explore such aspects as representation theory, differential geometry, invariant theory, and complex analysis. No index. Member prices are $47 for institutions and $35 for individual. Annotation copyrighted by Book News, Inc., Portland, OR.

Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory

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Publisher : World Scientific
ISBN 13 : 981277078X
Total Pages : 446 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory by : Jian-Shu Li

Download or read book Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory written by Jian-Shu Li and published by World Scientific. This book was released on 2007 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume carries the same title as that of an international conference held at the National University of Singapore, 9-11 January 2006 on the occasion of Roger E. Howe's 60th birthday. Authored by leading members of the Lie theory community, these contributions, expanded from invited lectures given at the conference, are a fitting tribute to the originality, depth and influence of Howe's mathematical work. The range and diversity of the topics will appeal to a broad audience of research mathematicians and graduate students interested in symmetry and its profound applications.

Selected Papers on Differential Equations and Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821839270
Total Pages : 168 pages
Book Rating : 4.8/5 (392 download)

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Book Synopsis Selected Papers on Differential Equations and Analysis by :

Download or read book Selected Papers on Differential Equations and Analysis written by and published by American Mathematical Soc.. This book was released on 2005 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains translations of papers that originally appeared in the Japanese journal Sugaku. The papers range over a variety of topics, including differential equations with free boundary, singular integral operators, operator algebras, and relations between the Brownian motion on a manifold with function theory. The volume is suitable for graduate students and research mathematicians interested in analysis and differential equations."

Harmonic Analysis on Semi-Simple Lie Groups I

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Publisher : Springer Science & Business Media
ISBN 13 : 364250275X
Total Pages : 545 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Harmonic Analysis on Semi-Simple Lie Groups I by : Garth Warner

Download or read book Harmonic Analysis on Semi-Simple Lie Groups I written by Garth Warner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The representation theory of locally compact groups has been vig orously developed in the past twenty-five years or so; of the various branches of this theory, one of the most attractive (and formidable) is the representation theory of semi-simple Lie groups which, to a great extent, is the creation of a single man: Harish-Chandra. The chief objective of the present volume and its immediate successor is to provide a reasonably self-contained introduction to Harish-Chandra's theory. Granting cer tain basic prerequisites (cf. infra), we have made an effort to give full details and complete proofs of the theorems on which the theory rests. The structure of this volume and its successor is as follows. Each book is divided into chapters; each chapter is divided into sections; each section into numbers. We then use the decimal system of reference; for example, 1. 3. 2 refers to the second number in the third section of the first chapter. Theorems, Propositions, Lemmas, and Corollaries are listed consecutively throughout any given number. Numbers which are set in fine print may be omitted at a first reading. There are a variety of Exam ples scattered throughout the text; the reader, if he is so inclined, can view them as exercises ad libitum. The Appendices to the text collect certain ancillary results which will be used on and off in the systematic exposi tion; a reference of the form A2.

Lie Theory and Its Applications in Physics

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Publisher : Springer Nature
ISBN 13 : 9811577757
Total Pages : 552 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Lie Theory and Its Applications in Physics by : Vladimir Dobrev

Download or read book Lie Theory and Its Applications in Physics written by Vladimir Dobrev and published by Springer Nature. This book was released on 2020-10-15 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2019. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a large interdisciplinary and interrelated field. The topics covered in this volume from the workshop represent the most modern trends in the field : Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Polylogarithms, and Supersymmetry. They also include Supersymmetric Calogero-type models, Quantum Groups, Deformations, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, and Exceptional Quantum Algebra for the standard model of particle physics This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.

Proceedings of the St. Petersburg Mathematical Society, Volume XIV

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Publisher : American Mathematical Soc.
ISBN 13 : 082184802X
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Proceedings of the St. Petersburg Mathematical Society, Volume XIV by : Sankt-Peterburgskoe matematicheskoe obshchestvo

Download or read book Proceedings of the St. Petersburg Mathematical Society, Volume XIV written by Sankt-Peterburgskoe matematicheskoe obshchestvo and published by American Mathematical Soc.. This book was released on 2009 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains articles on analysis, probability, partial differential operators, frames, and other areas of mathematics. This volume also contains a comprehensive article about the classification of pseudo-regular convex polyhedra. It is suitable for a broad group of graduate students and researchers interested in the topics presented here.

Proceedings of the St. Petersburg Mathematical Society, Volume VIII

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821896068
Total Pages : 224 pages
Book Rating : 4.8/5 (96 download)

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Book Synopsis Proceedings of the St. Petersburg Mathematical Society, Volume VIII by : N.N. Uraltseva

Download or read book Proceedings of the St. Petersburg Mathematical Society, Volume VIII written by N.N. Uraltseva and published by American Mathematical Soc.. This book was released on 2002-04-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this collection present new results in partial differential equations, numerical analysis, probability theory, and geometry. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.

Model Theory and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821896037
Total Pages : 362 pages
Book Rating : 4.8/5 (96 download)

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Book Synopsis Model Theory and Applications by : O.V. Belegradek

Download or read book Model Theory and Applications written by O.V. Belegradek and published by American Mathematical Soc.. This book was released on 1999 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers on model theory and its applications. The longest paper, "Model Theory of Unitriangular Groups" by O. V. Belegradek, forms a subtle general theory behind Mal'tsev's famous correspondence between rings and groups. This is the first published paper on the topic. Given the present model-theoretic interest in algebraic groups, Belegradek's work is of particular interest to logicians and algebraists. The rest of the collection consists of papers on various questions of model theory, mainly on stability theory. Contributors are leading Russian researchers in the field.

Proceedings of the St. Petersburg Mathematical Society Volume V

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821896020
Total Pages : 288 pages
Book Rating : 4.8/5 (96 download)

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Book Synopsis Proceedings of the St. Petersburg Mathematical Society Volume V by : Nina Nikolaevna Ural_t_seva

Download or read book Proceedings of the St. Petersburg Mathematical Society Volume V written by Nina Nikolaevna Ural_t_seva and published by American Mathematical Soc.. This book was released on 1999-07-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 10 papers with new results on problems in mathematical physics, differential equations, and probability. Included also is an article on the dramatic history of mathematics in Leningrad in the 1930s.

Harmonic Analysis on Real Reductive Groups

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Publisher : Springer
ISBN 13 : 3540374205
Total Pages : 531 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Harmonic Analysis on Real Reductive Groups by : V.S. Varadarajan

Download or read book Harmonic Analysis on Real Reductive Groups written by V.S. Varadarajan and published by Springer. This book was released on 2006-11-14 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation Theory and Mathematical Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852469
Total Pages : 404 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representation Theory and Mathematical Physics by : Jeffrey Adams

Download or read book Representation Theory and Mathematical Physics written by Jeffrey Adams and published by American Mathematical Soc.. This book was released on 2011-11-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Representation Theory and Mathematical Physics, in honor of Gregg Zuckerman's 60th birthday, held October 24-27, 2009, at Yale University. Lie groups and their representations play a fundamental role in mathematics, in particular because of connections to geometry, topology, number theory, physics, combinatorics, and many other areas. Representation theory is one of the cornerstones of the Langlands program in number theory, dating to the 1970s. Zuckerman's work on derived functors, the translation principle, and coherent continuation lie at the heart of the modern theory of representations of Lie groups. One of the major unsolved problems in representation theory is that of the unitary dual. The fact that there is, in principle, a finite algorithm for computing the unitary dual relies heavily on Zuckerman's work. In recent years there has been a fruitful interplay between mathematics and physics, in geometric representation theory, string theory, and other areas. New developments on chiral algebras, representation theory of affine Kac-Moody algebras, and the geometric Langlands correspondence are some of the focal points of this volume. Recent developments in the geometric Langlands program point to exciting connections between certain automorphic representations and dual fibrations in geometric mirror symmetry.

Proceedings of the St. Petersburg Mathematical Society

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821896044
Total Pages : 252 pages
Book Rating : 4.8/5 (96 download)

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Book Synopsis Proceedings of the St. Petersburg Mathematical Society by : N.N. Uraltseva (Mathematikerin, Russland)

Download or read book Proceedings of the St. Petersburg Mathematical Society written by N.N. Uraltseva (Mathematikerin, Russland) and published by American Mathematical Soc.. This book was released on with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection presents new results in algebra, functional analysis, and mathematical physics. In particular, evolution and spectral problems related to small motions of viscoelastic fluid are considered. Specific areas covered in the book include functional equations and functional operator equations from the point of view of the $C*$-algebraic approach, the existence of an isomorphism between certain ideals regarded as Galois modules, spectral problems in singularly perturbed domains, scattering theory, the existence of bounded solutions to the equation $\operatorname{div} u = f$ in a plane domain, and a compactification of a locally compact group. Also given is an historic overview of the mathematical seminars held at St. Petersburg State University. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.

Nonlinear Partial Differential Equations and Related Topics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849972
Total Pages : 268 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Partial Differential Equations and Related Topics by : Arina A. Arkhipova

Download or read book Nonlinear Partial Differential Equations and Related Topics written by Arina A. Arkhipova and published by American Mathematical Soc.. This book was released on 2010 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: "St. Petersburg PDE seminar, special session dedicated to N.N. Uraltseva's [75th] anniversary, June 2009"--P. [vi].

Operator Theory and Its Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852728
Total Pages : 192 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Theory and Its Applications by : Michael Levitin

Download or read book Operator Theory and Its Applications written by Michael Levitin and published by American Mathematical Soc.. This book was released on 2010 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to the theory of linear operators in Hilbert spaces and its applications, the subjects covered in this book range from the abstract theory of Toeplitz operators to the analysis of very specific differential operators arising in quantum mechanics, electromagnetism, and the theory of elasticity.

Mathematics Going Forward

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Publisher : Springer Nature
ISBN 13 : 3031122445
Total Pages : 629 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Mathematics Going Forward by : Jean-Michel Morel

Download or read book Mathematics Going Forward written by Jean-Michel Morel and published by Springer Nature. This book was released on 2023-06-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

Lie Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 081764430X
Total Pages : 216 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Lie Theory by : Jean-Philippe Anker

Download or read book Lie Theory written by Jean-Philippe Anker and published by Springer Science & Business Media. This book was released on 2006-02-25 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Focuses on two fundamental questions related to semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications, and branching laws for unitary representations * Wide applications of compactification techniques * Concrete examples and relevant exercises engage the reader * Knowledge of basic representation theory of Lie groups, semisimple Lie groups and symmetric spaces is required

Spectral Theory of Differential Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821890776
Total Pages : 318 pages
Book Rating : 4.8/5 (97 download)

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Book Synopsis Spectral Theory of Differential Operators by : T. Suslina

Download or read book Spectral Theory of Differential Operators written by T. Suslina and published by American Mathematical Soc.. This book was released on 2008-01-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume is dedicated to the eightieth birthday of Professor M. Sh. Birman. It contains original articles in spectral and scattering theory of differential operators, in particular, Schrodinger operators, and in homogenization theory. All articles are written by members of M. Sh. Birman's research group who are affiliated with different universities all over the world. A specific feature of the majority of the papers is a combination of traditional methods with new modern ideas."--BOOK JACKET.