Causal Symmetric Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Causal Symmetric Spaces write by Gestur Olafsson. This book was released on 1996-09-11. Causal Symmetric Spaces available in PDF, EPUB and Kindle. 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 spacesDeals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fieldsPresents basic geometric properties of semi-simple symmetric spacesIncludes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces
Causal Symmetric Spaces
Causal Symmetric Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Causal Symmetric Spaces write by Joachim Hilgert. This book was released on 1997. Causal Symmetric Spaces available in PDF, EPUB and Kindle. 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.
Lie Groups and Symmetric Spaces
Lie Groups and Symmetric Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Groups and Symmetric Spaces write by Semen Grigorʹevich Gindikin. This book was released on 2003. Lie Groups and Symmetric Spaces available in PDF, EPUB and Kindle. 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.
Harmonic Analysis and Special Functions on Symmetric Spaces
Harmonic Analysis and Special Functions on Symmetric Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis and Special Functions on Symmetric Spaces write by Gerrit Heckman. This book was released on 1995-02-08. Harmonic Analysis and Special Functions on Symmetric Spaces available in PDF, EPUB and Kindle. 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 spacesFirst treatment of the theory to include hypergeometric and spherical functionsLinks algebraic, analytic, and geometric methods
Geometric Methods in Physics XXXIX
Geometric Methods in Physics XXXIX - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Methods in Physics XXXIX write by Piotr Kielanowski. This book was released on 2023-07-21. Geometric Methods in Physics XXXIX available in PDF, EPUB and Kindle. 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.
