Representation Theory And Harmonic Analysis On Symmetric Spaces

Author : Jean-Philippe Anker
Publisher : Springer Science & Business Media
ISBN 13 : 0817644261
Total Pages : 183 pages
Book Rating : 4.60/5 ( download)

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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 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Presents extensive surveys by van den Ban, Schlichtkrull, and Delorme of the recent progress in deriving the Plancherel theorem on reductive symmetric spaces * Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology * Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required

Author : Jens Gerlach Christensen
Publisher : American Mathematical Soc.
ISBN 13 : 1470440709
Total Pages : 303 pages
Book Rating : 4.01/5 ( download)

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Download or read book Representation Theory and Harmonic Analysis on Symmetric Spaces written by Jens Gerlach Christensen and published by American Mathematical Soc.. This book was released on 2018-08-27 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.

Author : Jens Gerlach Christensen
Publisher :
ISBN 13 : 9781470448844
Total Pages : pages
Book Rating : 4.4X/5 ( download)

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Download or read book Representation Theory and Harmonic Analysis on Symmetric Spaces written by Jens Gerlach Christensen and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Joseph Albert Wolf
Publisher : American Mathematical Soc.
ISBN 13 : 0821842897
Total Pages : 408 pages
Book Rating : 4.98/5 ( download)

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Download or read book Harmonic Analysis on Commutative Spaces written by Joseph Albert Wolf and published by American Mathematical Soc.. This book was released on 2007 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces.

Author : Ray Alden Kunze
Publisher : American Mathematical Soc.
ISBN 13 : 0821803107
Total Pages : 270 pages
Book Rating : 4.03/5 ( download)

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Download or read book Representation Theory and Harmonic Analysis written by Ray Alden Kunze and published by American Mathematical Soc.. This book was released on 1995 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume stems from a special session on representation theory and harmonic analysis held in honour of Ray Kunze at the 889th meeting of the American Mathematical Society on January 12-15 1994. It is intended for graduate students and research mathematicians interested in topological groups, lie groups and abstract harmonic analysis.

Author : Katsumi Nomizu
Publisher : American Mathematical Soc.
ISBN 13 : 9780821808405
Total Pages : 160 pages
Book Rating : 4.00/5 ( download)

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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.

Author : Semen Grigorʹevich Gindikin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821834725
Total Pages : 372 pages
Book Rating : 4.2X/5 ( download)

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Download or read book Lie Groups and Symmetric Spaces written by Semen Grigorʹevich Gindikin and published by American Mathematical Soc.. This book was released on 2003 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains survey and research articles devoted mainly to geometry and harmonic analysis of symmetric spaces and to corresponding aspects of group representation theory. The volume is dedicated to the memory of Russian mathematician, F. I. Karpelevich (1927-2000). Of particular interest are the survey articles by Sawyer on the Abel transform on noncompact Riemannian symmetric spaces, and by Anker and Ostellari on estimates for heat kernels on such spaces, as well as thearticle by Bernstein and Gindikin on integral geometry for families of curves. There are also many research papers on topics of current interest. The book is suitable for graduate students and research mathematicians interested in harmonic analysis and representation theory.

Author : Paul J. Sally (Jr.)
Publisher : American Mathematical Soc.
ISBN 13 : 0821815261
Total Pages : 364 pages
Book Rating : 4.67/5 ( download)

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Download or read book Representation Theory and Harmonic Analysis on Semisimple Lie Groups written by Paul J. Sally (Jr.) and published by American Mathematical Soc.. This book was released on 1989 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together five papers that have been influential in the study of Lie groups. Though published more than 20 years ago, these papers made fundamental contributions that deserve much broader exposure. In addition, the subsequent literature that has subsumed these papers cannot replace the originality and vitality they contain. The editors have provided a brief introduction to each paper, as well as a synopsis of the major developments which have occurred in the area covered by each paper. Included here are the doctoral theses of Arthur, Osborne, and Schmid. Arthur's thesis is closely related to Trombi's paper insofar as both deal with harmonic analysis on real semisimple Lie groups, and, in particular, analysis on the Schwartz space of Harish-Chandra. Arthur's thesis is concerned with the image under the Fourier transform of the Schwartz space of a semisimple Lie group of real rank one, while Trombi's paper provides an expository account of the harmonic analysis associated to the decomposition of the Schwartz space under the regular representation. In his thesis, Osborne extends the Atiyah-Bott fixed point theorem for elliptic complexes to obtain a fixed point formula for complexes that are not elliptic. Schmid proves a generalization of the Borel-Weil theorem concerning an explicit and geometric realization of the irreducible representations of a compact, connected semisimple Lie group. Langlands's fundamental paper provides a classification of irreducible, admissible representations of real reductive Lie groups.

Author : Gerrit Heckman
Publisher : Academic Press
ISBN 13 : 0080533299
Total Pages : 239 pages
Book Rating : 4.92/5 ( download)

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Download or read book Harmonic Analysis and Special Functions on Symmetric Spaces written by Gerrit Heckman and published by Academic Press. This book was released on 1995-02-08 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent developments in group theory. The authors provide students and researchers with a thorough and thoughtful overview, elaborating on the topic with clear statements of definitions and theorems and augmenting these withtime-saving examples. An extensive set of notes supplements the text. Heckman and Schlichtkrull extend the ideas of harmonic analysis on semisimple symmetric spaces to embrace the theory of hypergeometric and spherical functions and show that the K-variant Eisenstein integrals for G/H are hypergeometric functions under this theory. They lead readers from the fundamentals of semisimple symmetric spaces of G/H to the frontier, including generalization, to the Riemannian case. This volume will interest harmonic analysts, those working on or applying the theory of symmetric spaces; it will also appeal to those with an interest in special functions. Extends ideas of harmonic analysis on symmetric spaces First treatment of the theory to include hypergeometric and spherical functions Links algebraic, analytic, and geometric methods

Author : A.A. Kirillov
Publisher : Springer Science & Business Media
ISBN 13 : 3662097567
Total Pages : 274 pages
Book Rating : 4.64/5 ( download)

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Download or read book Representation Theory and Noncommutative Harmonic Analysis II written by A.A. Kirillov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.