Weakly Symmetric Spaces And Bounded Symmetric Domains
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Weakly Symmetric Spaces And Bounded Symmetric Domains
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Author : Hieu Duc Nguyen
language : en
Publisher:
Release Date : 1996
Weakly Symmetric Spaces And Bounded Symmetric Domains written by Hieu Duc Nguyen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Bounded Symmetric Domains In Banach Spaces
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Author : Cho-ho Chu
language : en
Publisher: World Scientific
Release Date : 2020-09-10
Bounded Symmetric Domains In Banach Spaces written by Cho-ho Chu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-10 with Mathematics categories.
This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.This monograph is intended as a convenient reference for researchers and graduate students in geometric analysis, infinite dimensional holomorphy as well as functional analysis and operator theory.
Topics In Geometry
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Author : Simon Gindikin
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-06-27
Topics In Geometry written by Simon Gindikin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-27 with Mathematics categories.
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.
Symmetric Spaces Short Courses Presented At Washington University
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Author : William Munger Boothby
language : en
Publisher:
Release Date : 1972
Symmetric Spaces Short Courses Presented At Washington University written by William Munger Boothby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
Topics In Geometry
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Author : Simon Gindikin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Topics In Geometry written by Simon Gindikin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Harmonic Analysis On Commutative Spaces
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Author : Joseph Albert Wolf
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Harmonic Analysis On Commutative Spaces written by Joseph Albert Wolf and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
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.
Realization Of Hermitian Symmetric Spaces As Tube Domains
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Author : Adam Koranyi
language : en
Publisher:
Release Date : 1963
Realization Of Hermitian Symmetric Spaces As Tube Domains written by Adam Koranyi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Generalized spaces categories.
Invariant Potential Theory In The Unit Ball Of Cn
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Author : Manfred Stoll
language : en
Publisher: Cambridge University Press
Release Date : 1994-05-12
Invariant Potential Theory In The Unit Ball Of Cn written by Manfred Stoll and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-12 with Mathematics categories.
This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplace-Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn. Topics covered include Poisson-Szegö integrals on the ball, the Green's function for D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. The monograph also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Green potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. The notes are self-contained, and should be accessible to anyone with some basic knowledge of several complex variables.
Differential Geometry And Symmetric Spaces
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Author : Sigurdur Helgason
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-05
Differential Geometry And Symmetric Spaces written by Sigurdur Helgason and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-05 with Mathematics categories.
Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a remarkable and important book. For many years, it was the standard text both for Riemannian geometry and for the analysis and geometry of symmetric spaces. Several generations of mathematicians relied on it for its clarity and careful attention to detail. Although much has happened in the field since the publication of this book, as demonstrated by Helgason's own three-volume expansion of the original work, this single volume is still an excellent overview of the subjects. For instance, even though there are now many competing texts, the chapters on differential geometry and Lie groups continue to be among the best treatments of the subjects available. There is also a well-developed treatment of Cartan's classification and structure theory of symmetric spaces. The last chapter, on functions on symmetric spaces, remains an excellent introduction to the study of spherical functions, the theory of invariant differential operators, and other topics in harmonic analysis. This text is rightly called a classic.
Analysis On Non Riemannian Symmetric Spaces
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Author : Mogens Flensted-Jensen
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Analysis On Non Riemannian Symmetric Spaces written by Mogens Flensted-Jensen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Harmonic analysis on Riemannian semi simple symmetric spaces and on special types of non-Riemannian semi simple symmetric spaces are well-established theories. This book presents a systematic treatment of the basic problems on semi simple symmetric spaces and a discussion of some of the more important recent developments in the field.