Causal Symmetric Spaces

Author : Joachim Hilgert,Gestur Ólafsson
Publisher : Unknown
Page : 286 pages
File Size : 45,8 Mb
Release : 1997
Category : Mathematics
ISBN : 012525430X

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Causal Symmetric Spaces by Joachim Hilgert,Gestur Ólafsson Pdf

This book introduces researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered "standard" by specialists have not been widely published. This book brings this information to students and researchers in geometry and analysis of causal symmetric spaces. During the last several years, a fairly complete structure theory of irreducible causal symmetric spaces has emerged. This book is the first to present this theory with exhaustive proofs. The final chapters provide an introduction to the applications of this topic to harmonic analysis.

Author : G. 'Olafsson
Publisher : Unknown
Page : 91 pages
File Size : 51,7 Mb
Release : 1990
Category : Electronic
ISBN : OCLC:897673780

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Causal Symmetric Spaces by G. 'Olafsson Pdf

Author : Gestur Olafsson,Joachim Hilgert
Publisher : Academic Press
Page : 303 pages
File Size : 45,9 Mb
Release : 1996-09-11
Category : Mathematics
ISBN : 9780080528724

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Causal Symmetric Spaces by Gestur Olafsson,Joachim Hilgert Pdf

This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces. Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spaces Deals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fields Presents basic geometric properties of semi-simple symmetric spaces Includes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces

Author : Semen Grigorʹevich Gindikin
Publisher : American Mathematical Soc.
Page : 372 pages
File Size : 42,8 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 : Jens Gerlach Christensen,Susanna Dann,Matthew Dawson
Publisher : American Mathematical Soc.
Page : 303 pages
File Size : 52,9 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 : Ottmar Loos
Publisher : Unknown
Page : 212 pages
File Size : 46,8 Mb
Release : 1969
Category : Continuous groups
ISBN : MINN:31951000557240T

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Symmetric Spaces: General theory by Ottmar Loos Pdf

Author : Wolfgang Bertram
Publisher : Springer
Page : 274 pages
File Size : 42,8 Mb
Release : 2003-07-01
Category : Mathematics
ISBN : 9783540444589

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The Geometry of Jordan and Lie Structures by Wolfgang Bertram Pdf

The geometry of Jordan and Lie structures tries to answer the following question: what is the integrated, or geometric, version of real Jordan algebras, - triple systems and - pairs? Lie theory shows the way one has to go: Lie groups and symmetric spaces are the geometric version of Lie algebras and Lie triple systems. It turns out that both geometries are closely related via a functor between them, called the Jordan-Lie functor, which is constructed in this book. The reader is not assumed to have any knowledge of Jordan theory; the text can serve as a self-contained introduction to (real finite-dimensional) Jordan theory.

Author : Khalid Koufany
Publisher : Unknown
Page : 84 pages
File Size : 51,5 Mb
Release : 2005
Category : Hardy spaces
ISBN : UOM:39015068671539

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Jordan Algebras, Geometry of Hermitian Symmetric Spaces and Non-commutative Hardy Spaces by Khalid Koufany Pdf

Author : Piotr Kielanowski,Alina Dobrogowska,Gerald A. Goldin,Tomasz Goliński
Publisher : Springer Nature
Page : 345 pages
File Size : 43,5 Mb
Release : 2023-07-21
Category : Science
ISBN : 9783031302848

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Geometric Methods in Physics XXXIX by Piotr Kielanowski,Alina Dobrogowska,Gerald A. Goldin,Tomasz Goliński Pdf

This volume collects papers based on lectures given at the XXXIX Workshop on Geometric Methods in Physics, held in Białystok, Poland in June 2022. These chapters provide readers an overview of cutting-edge research in geometry, analysis, and a wide variety of other areas. Specific topics include: Classical and quantum field theories Infinite-dimensional groups Integrable systems Lie groupoids and Lie algebroids Representation theory Geometric Methods in Physics XXXIX will be a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas.

Author : Karl H. Hofmann,Jimmie D. Lawson,Ernest B. Vinberg
Publisher : Walter de Gruyter
Page : 385 pages
File Size : 41,8 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9783110885583

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Semigroups in Algebra, Geometry and Analysis by Karl H. Hofmann,Jimmie D. Lawson,Ernest B. Vinberg Pdf

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Author : James W. Cogdell,Freydoon Shahidi,David Soudry
Publisher : American Mathematical Soc.
Page : 441 pages
File Size : 40,9 Mb
Release : 2014-04-01
Category : Mathematics
ISBN : 9780821893944

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Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro by James W. Cogdell,Freydoon Shahidi,David Soudry Pdf

This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global -functions and their periods; -adic -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.

Author : Joachim Hilgert
Publisher : Walter de Gruyter
Page : 312 pages
File Size : 44,6 Mb
Release : 1998
Category : Mathematics
ISBN : 3110161125

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Positivity in Lie Theory by Joachim Hilgert Pdf

Sets out a series of problems to demonstrate to newcomers to Lie theory how notions of positivity in it occur in quite diverse settings, vary widely both in nature and application, and are approached from quite divergent mathematical viewpoints. Each of the 15 chapters (one in French) addresses a specific problem or a circle of problems at a level apprehendable by a graduate student with a sound knowledge of basic Lie theory. The emphasis is on smaller problems that might serve as guidelines to the main problems. Among the topics are exponential functions, invariant cones in real representations, total positivity, discrete series and analyticity, harmonic analysis on causal symmetric spaces, and linear algebraic monoids. A web site has been established to disseminate solutions to any of the problems. Annotation copyrighted by Book News, Inc., Portland, OR

Author : Patrick Delorme,Michèle Vergne
Publisher : Springer Science & Business Media
Page : 518 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780817682040

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Noncommutative Harmonic Analysis by Patrick Delorme,Michèle Vergne Pdf

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.

Author : Joachim Hilgert,Jimmie D. Lawson,Karl-Hermann Neeb,Ernest B. Vinberg
Publisher : Walter de Gruyter
Page : 305 pages
File Size : 46,9 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9783110811186

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Positivity in Lie Theory by Joachim Hilgert,Jimmie D. Lawson,Karl-Hermann Neeb,Ernest B. Vinberg Pdf

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Author : Simon Gindikin
Publisher : Springer Science & Business Media
Page : 387 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461224327

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Topics in Geometry by Simon Gindikin Pdf

This collection of articles serves to commemorate the legacy of Joseph D'Atri, who passed away on April 29, 1993, a few days after his 55th birthday. Joe D' Atri is credited with several fundamental discoveries in ge ometry. In the beginning of his mathematical career, Joe was interested in the generalization of symmetrical spaces in the E. Cart an sense. Symmetric spaces, differentiated from other homogeneous manifolds by their geomet rical richness, allows the development of a deep analysis. Geometers have been constantly interested and challenged by the problem of extending the class of symmetric spaces so as to preserve their geometrical and analytical abundance. The name of D'Atri is tied to one of the most successful gen eralizations: Riemann manifolds in which (local) geodesic symmetries are volume-preserving (up to sign). In time, it turned out that the majority of interesting generalizations of symmetrical spaces are D'Atri spaces: natu ral reductive homogeneous spaces, Riemann manifolds whose geodesics are orbits of one-parameter subgroups, etc. The central place in D'Atri's research is occupied by homogeneous bounded domains in en, which are not symmetric. Such domains were discovered by Piatetskii-Shapiro in 1959, and given Joe's strong interest in the generalization of symmetric spaces, it was very natural for him to direct his research along this path.