UID:
edocfu_9958354610902883
Format:
1 online resource (778p.)
ISBN:
9783110808148
Series Statement:
De Gruyter Expositions in Mathematics ; 28
Note:
Frontmatter --
,
A. Abstract Representation Theory --
,
Chapter I. Reproducing Kernel Spaces --
,
Chapter II. Representations of Involutive Semigroups --
,
Chapter III. Positive Definite Functions on Involutive Semigroups --
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Chapter IV. Continuous and Holomorphic Representations --
,
B. Convex Geometry and Representations of Vector Spaces --
,
Chapter V. Convex Sets and Convex Functions --
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Chapter VI. Representations of Cones and Tubes --
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C. Convex Geometry of Lie Algebras --
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Chapter VII. Convexity in Lie Algebras --
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Chapter VIII. Convexity Theorems and Their Applications --
,
D. Highest Weight Representations of Lie Algebras, Lie Groups, and Semigroups --
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Chapter IX. Unitary Highest Weight Representations: Algebraic Theory --
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Chapter X. Unitary Highest Weight Representations: Analytic Theory --
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Chapter XI. Complex Ol’shanskiĭ Semigroups and Their Representations --
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Chapter XII. Realization of Highest Weight Representations on Complex Domains --
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E. Complex Geometry and Representation Theory --
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Chapter XIII. Complex and Convex Geometry of Complex Semigroups --
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Chapter XIV. Biinvariant Hilbert Spaces and Hardy Spaces on Complex Semigroups --
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Chapter XV. Coherent State Representations --
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Appendices --
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Appendix I. Bounded Operators on Hilbert Spaces --
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Appendix II. Spectral Measures and Unbounded Operators --
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Appendix III. Holomorphic Functions on Infinite-Dimensional Spaces --
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Appendix IV. Symplectic Geometry --
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Appendix V. Simple Modules of p-Length 2 --
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Appendix VI. Symplectic Modules of Convex Type --
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Appendix VII. Square Integrable Representations of Locally Compact Groups --
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Appendix VIII. The Stone – von Neumann-Mackey Theorem --
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Bibliography --
,
List of Symbols --
,
Index
Additional Edition:
ISBN 978-3-11-015669-0
Language:
English
DOI:
10.1515/9783110808148
URL:
https://doi.org/10.1515/9783110808148
