Causal symmetric spaces: geometry and harmonic analysis
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
San Diego
Academic Press
c1997
|
Schriftenreihe: | Perspectives in mathematics
vol. 18 |
Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | 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 Symmetric Spaces: Basic Structure Theory. Dual Symmetric Spaces. The Module Structure of q. A-subspaces. The Hyperboloids. Causal Orientations: Covex Cones and their Automorphisms. Causal Orientations. Semigroups. The Order Compactification. Examples. Symmetric Spaces Related to Tube Domains. Irreducible Causal Symmetric Spaces: Existence of Causal Structures. The Classification of Causal Symmetric Pairs. Clasification of Invariant Cones: SymmetricSL(2, R)-Reduction. The Minimal and Maximal Cones. The Linear Convexity Theorem. The Classification. Extension of Cones. The Geometry: The Bounded Realization of H / H (K. The Semigroup S(C). The Causal Intervals. Compression Semigroups. The Non-Linear Convexity Theorem. The B<+>#-Order. The Affine Closure of B<+>#. The Order Compactification: Causal Galois Connections. An Alternative Realization of M<+>cpt. NOTE: THE cpt SHOULD APPEAR DIRECTLY OVER A + SIGN. The Stabilizers for M<+>cpt. SEE NOTE. Theo Orbit Structure of M<+>cpt. (NO + SIGN.) The Space SL(3, R)/SO(2,1). Holomorphic Representations: Holomorphic Representations of Semigroups. Highest Weight-Modules. The Holomorphic Discrete Series. Classical Hardy Spaces. Hardy Spaces. The Cauchy-Szegi Kernel. Spherical Functions: The Classical Laplace Transform. Spherical Functions. The Asymptotics. Expansion Formula. The Spherical Laplace Transform. The Abel Transform. Relation to Representation Theory. The Wiener-Hopf Algebra. Appendices. Notation. References. Bibliography. Author Index. Subject Index Includes bibliographical references (p. 272-283) and index |
Beschreibung: | 1 Online-Ressource (xiv, 286 p.) |
ISBN: | 0080528724 012525430X 9780080528724 9780125254304 |
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245 | 1 | 0 | |a Causal symmetric spaces |b geometry and harmonic analysis |c Joachim Hilgert, Gestur Ólafsson |
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490 | 0 | |a Perspectives in mathematics |v vol. 18 | |
500 | |a 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 | ||
500 | |a Symmetric Spaces: Basic Structure Theory. Dual Symmetric Spaces. The Module Structure of q. A-subspaces. The Hyperboloids. Causal Orientations: Covex Cones and their Automorphisms. Causal Orientations. Semigroups. The Order Compactification. Examples. Symmetric Spaces Related to Tube Domains. Irreducible Causal Symmetric Spaces: Existence of Causal Structures. The Classification of Causal Symmetric Pairs. Clasification of Invariant Cones: SymmetricSL(2, R)-Reduction. The Minimal and Maximal Cones. The Linear Convexity Theorem. The Classification. Extension of Cones. The Geometry: The Bounded Realization of H / H (K. The Semigroup S(C). The Causal Intervals. Compression Semigroups. The Non-Linear Convexity Theorem. The B<+>#-Order. The Affine Closure of B<+>#. The Order Compactification: Causal Galois Connections. An Alternative Realization of M<+>cpt. NOTE: THE cpt SHOULD APPEAR DIRECTLY OVER A + SIGN. The Stabilizers for M<+>cpt. SEE NOTE. Theo Orbit Structure of M<+>cpt. (NO + SIGN.) The Space SL(3, R)/SO(2,1). Holomorphic Representations: Holomorphic Representations of Semigroups. Highest Weight-Modules. The Holomorphic Discrete Series. Classical Hardy Spaces. Hardy Spaces. The Cauchy-Szegi Kernel. Spherical Functions: The Classical Laplace Transform. Spherical Functions. The Asymptotics. Expansion Formula. The Spherical Laplace Transform. The Abel Transform. Relation to Representation Theory. The Wiener-Hopf Algebra. Appendices. Notation. References. Bibliography. Author Index. Subject Index | ||
500 | |a Includes bibliographical references (p. 272-283) and index | ||
650 | 7 | |a Geometria diferencial |2 larpcal | |
650 | 7 | |a Analise harmonica |2 larpcal | |
650 | 7 | |a MATHEMATICS / Geometry / Differential |2 bisacsh | |
650 | 7 | |a Harmonic analysis |2 fast | |
650 | 7 | |a Symmetric spaces |2 fast | |
650 | 4 | |a Symmetric spaces | |
650 | 4 | |a Harmonic analysis | |
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Datensatz im Suchindex
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---|---|
any_adam_object | |
author | Hilgert, Joachim |
author_facet | Hilgert, Joachim |
author_role | aut |
author_sort | Hilgert, Joachim |
author_variant | j h jh |
building | Verbundindex |
bvnumber | BV043044808 |
collection | ZDB-4-EBA |
ctrlnum | (OCoLC)162128675 (DE-599)BVBBV043044808 |
dewey-full | 516.3/62 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.3/62 |
dewey-search | 516.3/62 |
dewey-sort | 3516.3 262 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | DE-604.BV043044808 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:15:51Z |
institution | BVB |
isbn | 0080528724 012525430X 9780080528724 9780125254304 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028469346 |
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owner_facet | DE-1046 DE-1047 |
physical | 1 Online-Ressource (xiv, 286 p.) |
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publisher | Academic Press |
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series2 | Perspectives in mathematics |
spelling | Hilgert, Joachim Verfasser aut Causal symmetric spaces geometry and harmonic analysis Joachim Hilgert, Gestur Ólafsson San Diego Academic Press c1997 1 Online-Ressource (xiv, 286 p.) txt rdacontent c rdamedia cr rdacarrier Perspectives in mathematics vol. 18 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 Symmetric Spaces: Basic Structure Theory. Dual Symmetric Spaces. The Module Structure of q. A-subspaces. The Hyperboloids. Causal Orientations: Covex Cones and their Automorphisms. Causal Orientations. Semigroups. The Order Compactification. Examples. Symmetric Spaces Related to Tube Domains. Irreducible Causal Symmetric Spaces: Existence of Causal Structures. The Classification of Causal Symmetric Pairs. Clasification of Invariant Cones: SymmetricSL(2, R)-Reduction. The Minimal and Maximal Cones. The Linear Convexity Theorem. The Classification. Extension of Cones. The Geometry: The Bounded Realization of H / H (K. The Semigroup S(C). The Causal Intervals. Compression Semigroups. The Non-Linear Convexity Theorem. The B<+>#-Order. The Affine Closure of B<+>#. The Order Compactification: Causal Galois Connections. An Alternative Realization of M<+>cpt. NOTE: THE cpt SHOULD APPEAR DIRECTLY OVER A + SIGN. The Stabilizers for M<+>cpt. SEE NOTE. Theo Orbit Structure of M<+>cpt. (NO + SIGN.) The Space SL(3, R)/SO(2,1). Holomorphic Representations: Holomorphic Representations of Semigroups. Highest Weight-Modules. The Holomorphic Discrete Series. Classical Hardy Spaces. Hardy Spaces. The Cauchy-Szegi Kernel. Spherical Functions: The Classical Laplace Transform. Spherical Functions. The Asymptotics. Expansion Formula. The Spherical Laplace Transform. The Abel Transform. Relation to Representation Theory. The Wiener-Hopf Algebra. Appendices. Notation. References. Bibliography. Author Index. Subject Index Includes bibliographical references (p. 272-283) and index Geometria diferencial larpcal Analise harmonica larpcal MATHEMATICS / Geometry / Differential bisacsh Harmonic analysis fast Symmetric spaces fast Symmetric spaces Harmonic analysis Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Symmetrischer Raum (DE-588)4184206-6 gnd rswk-swf Symmetrischer Raum (DE-588)4184206-6 s Harmonische Analyse (DE-588)4023453-8 s 1\p DE-604 Ólafsson, Gestur Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=207167 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Hilgert, Joachim Causal symmetric spaces geometry and harmonic analysis Geometria diferencial larpcal Analise harmonica larpcal MATHEMATICS / Geometry / Differential bisacsh Harmonic analysis fast Symmetric spaces fast Symmetric spaces Harmonic analysis Harmonische Analyse (DE-588)4023453-8 gnd Symmetrischer Raum (DE-588)4184206-6 gnd |
subject_GND | (DE-588)4023453-8 (DE-588)4184206-6 |
title | Causal symmetric spaces geometry and harmonic analysis |
title_auth | Causal symmetric spaces geometry and harmonic analysis |
title_exact_search | Causal symmetric spaces geometry and harmonic analysis |
title_full | Causal symmetric spaces geometry and harmonic analysis Joachim Hilgert, Gestur Ólafsson |
title_fullStr | Causal symmetric spaces geometry and harmonic analysis Joachim Hilgert, Gestur Ólafsson |
title_full_unstemmed | Causal symmetric spaces geometry and harmonic analysis Joachim Hilgert, Gestur Ólafsson |
title_short | Causal symmetric spaces |
title_sort | causal symmetric spaces geometry and harmonic analysis |
title_sub | geometry and harmonic analysis |
topic | Geometria diferencial larpcal Analise harmonica larpcal MATHEMATICS / Geometry / Differential bisacsh Harmonic analysis fast Symmetric spaces fast Symmetric spaces Harmonic analysis Harmonische Analyse (DE-588)4023453-8 gnd Symmetrischer Raum (DE-588)4184206-6 gnd |
topic_facet | Geometria diferencial Analise harmonica MATHEMATICS / Geometry / Differential Harmonic analysis Symmetric spaces Harmonische Analyse Symmetrischer Raum |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=207167 |
work_keys_str_mv | AT hilgertjoachim causalsymmetricspacesgeometryandharmonicanalysis AT olafssongestur causalsymmetricspacesgeometryandharmonicanalysis |