Representation Theory And Harmonic Analysis On Symmetric Spaces

Author : Jean-Philippe Anker,Bent Orsted
Publisher : Springer Science & Business Media
Page : 183 pages
File Size : 55,7 Mb
Release : 2006-02-25
Category : Mathematics
ISBN : 9780817644260

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Lie Theory by Jean-Philippe Anker,Bent Orsted Pdf

* 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 : Joseph Albert Wolf
Publisher : American Mathematical Soc.
Page : 408 pages
File Size : 51,8 Mb
Release : 2007
Category : Abelian groups
ISBN : 9780821842898

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Harmonic Analysis on Commutative Spaces by Joseph Albert Wolf Pdf

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 : Jens Gerlach Christensen,Susanna Dann,Matthew Dawson
Publisher : American Mathematical Soc.
Page : 303 pages
File Size : 47,6 Mb
Release : 2018-08-27
Category : Festschriften
ISBN : 9781470440701

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Representation Theory and Harmonic Analysis on Symmetric Spaces by Jens Gerlach Christensen,Susanna Dann,Matthew Dawson Pdf

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,Susanna Dann,Matthew Dawson
Publisher : Unknown
Page : 128 pages
File Size : 53,7 Mb
Release : 2018
Category : Festschriften
ISBN : 147044884X

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Representation Theory and Harmonic Analysis on Symmetric Spaces by Jens Gerlach Christensen,Susanna Dann,Matthew Dawson Pdf

Author : Ray Alden Kunze,Kenneth I. Gross
Publisher : American Mathematical Soc.
Page : 270 pages
File Size : 48,8 Mb
Release : 1995
Category : Analyse harmonique - Congrès
ISBN : 9780821803103

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Representation Theory and Harmonic Analysis by Ray Alden Kunze,Kenneth I. Gross Pdf

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 : Semen Grigorʹevich Gindikin
Publisher : American Mathematical Soc.
Page : 372 pages
File Size : 43,8 Mb
Release : 2003
Category : Geometry, Differential
ISBN : 082183472X

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Lie Groups and Symmetric Spaces by Semen Grigorʹevich Gindikin Pdf

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 : Katsumi Nomizu
Publisher : American Mathematical Soc.
Page : 160 pages
File Size : 48,6 Mb
Release : 1997
Category : Mathematics
ISBN : 0821808400

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Selected Papers on Harmonic Analysis, Groups, and Invariants by Katsumi Nomizu Pdf

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 : A.A. Kirillov
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 54,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662097564

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Representation Theory and Noncommutative Harmonic Analysis II by A.A. Kirillov Pdf

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.

Author : Paul Sally,David A. Vogan
Publisher : American Mathematical Soc.
Page : 350 pages
File Size : 51,7 Mb
Release : 1989
Category : Mathematics
ISBN : 9780821815267

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Representation Theory and Harmonic Analysis on Semisimple Lie Groups by Paul Sally,David A. Vogan Pdf

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 : Armand Borel,Lizhen Ji
Publisher : Springer Science & Business Media
Page : 477 pages
File Size : 40,5 Mb
Release : 2006-07-25
Category : Mathematics
ISBN : 9780817644666

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Compactifications of Symmetric and Locally Symmetric Spaces by Armand Borel,Lizhen Ji Pdf

Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology

Author : Bernhard Krötz,Omer Offen,Eitan Sayag
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 43,9 Mb
Release : 2011-12-14
Category : Mathematics
ISBN : 9780817648176

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Representation Theory, Complex Analysis, and Integral Geometry by Bernhard Krötz,Omer Offen,Eitan Sayag Pdf

This volume targets graduate students and researchers in the fields of representation theory, automorphic forms, Hecke algebras, harmonic analysis, number theory.

Author : Gerrit Heckman
Publisher : Academic Press
Page : 239 pages
File Size : 50,5 Mb
Release : 1995-02-08
Category : Mathematics
ISBN : 9780080533292

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Harmonic Analysis and Special Functions on Symmetric Spaces by Gerrit Heckman Pdf

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 : David Gurarie
Publisher : Courier Corporation
Page : 466 pages
File Size : 42,5 Mb
Release : 2007-12-21
Category : Mathematics
ISBN : 9780486462882

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Symmetries and Laplacians by David Gurarie Pdf

Designed as an introduction to harmonic analysis and group representations, this book examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory, covering a wide range of topics rather than delving deeply into any particular area. Author David Gurarie, a Professor of Mathematics at Case Western Reserve University, focuses on discrete or continuous geometrical objects and structures, such as regular graphs, lattices, and symmetric Riemannian manifolds. Starting with the basics of representation theory, Professor Gurarie discusses commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. Among numerous applications included are integrable hamiltonian systems, geodesic flows on symmetric spaces, and the spectral theory of the Hydrogen atom (Schrodinger operator with Coulomb potential) explicated by its Runge-Lenz symmetry. Three helpful appendixes include supplemental information, and the text concludes with references, a list of frequently used notations, and an index.

Author : Michael Cowling,Edward Frenkel,Masaki Kashiwara,Alain Valette,David A. Vogan,Nolan R. Wallach
Publisher : Springer
Page : 389 pages
File Size : 43,9 Mb
Release : 2008-02-22
Category : Mathematics
ISBN : 9783540768920

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Representation Theory and Complex Analysis by Michael Cowling,Edward Frenkel,Masaki Kashiwara,Alain Valette,David A. Vogan,Nolan R. Wallach Pdf

Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.

Author : Calvin C. Moore
Publisher : American Mathematical Society(RI)
Page : 488 pages
File Size : 52,8 Mb
Release : 1973
Category : Mathematics
ISBN : STANFORD:36105031376473

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Harmonic Analysis on Homogeneous Spaces by Calvin C. Moore Pdf