Causal Symmetric Spaces
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Causal Symmetric Spaces
Author | : Joachim Hilgert,Gestur Ólafsson |
Publsiher | : Unknown |
Total Pages | : 286 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 012525430X |
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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.
Causal Symmetric Spaces
Author | : G. 'Olafsson |
Publsiher | : Unknown |
Total Pages | : 91 |
Release | : 1990 |
Genre | : Electronic Book |
ISBN | : OCLC:897673780 |
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Causal Symmetric Spaces
Author | : Gestur Olafsson,Joachim Hilgert |
Publsiher | : Academic Press |
Total Pages | : 303 |
Release | : 1996-09-11 |
Genre | : Mathematics |
ISBN | : 9780080528724 |
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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
Lie Groups and Symmetric Spaces
Author | : Semen Grigorʹevich Gindikin |
Publsiher | : American Mathematical Soc. |
Total Pages | : 372 |
Release | : 2003 |
Genre | : Geometry, Differential |
ISBN | : 082183472X |
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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.
Representation Theory and Harmonic Analysis on Symmetric Spaces
Author | : Jens Gerlach Christensen,Susanna Dann,Matthew Dawson |
Publsiher | : American Mathematical Soc. |
Total Pages | : 303 |
Release | : 2018-08-27 |
Genre | : Festschriften |
ISBN | : 9781470440701 |
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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.
Symmetric Spaces General theory
Author | : Ottmar Loos |
Publsiher | : Unknown |
Total Pages | : 212 |
Release | : 1969 |
Genre | : Continuous groups |
ISBN | : MINN:31951000557240T |
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The Geometry of Jordan and Lie Structures
Author | : Wolfgang Bertram |
Publsiher | : Springer |
Total Pages | : 274 |
Release | : 2003-07-01 |
Genre | : Mathematics |
ISBN | : 9783540444589 |
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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.
Jordan Algebras Geometry of Hermitian Symmetric Spaces and Non commutative Hardy Spaces
Author | : Khalid Koufany |
Publsiher | : Unknown |
Total Pages | : 84 |
Release | : 2005 |
Genre | : Hardy spaces |
ISBN | : UOM:39015068671539 |
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