UID:
edocfu_9959233109402883
Format:
1 online resource (804 p.)
Edition:
Reprint 2011
ISBN:
3-11-080814-5
Series Statement:
De Gruyter Expositions in Mathematics ; 28
Note:
Bibliographic Level Mode of Issuance: Monograph
,
Frontmatter --
,
A. Abstract Representation Theory --
,
Chapter I. Reproducing Kernel Spaces --
,
Chapter II. Representations of Involutive Semigroups --
,
Chapter III. Positive Definite Functions on Involutive Semigroups --
,
Chapter IV. Continuous and Holomorphic Representations --
,
B. Convex Geometry and Representations of Vector Spaces --
,
Chapter V. Convex Sets and Convex Functions --
,
Chapter VI. Representations of Cones and Tubes --
,
C. Convex Geometry of Lie Algebras --
,
Chapter VII. Convexity in Lie Algebras --
,
Chapter VIII. Convexity Theorems and Their Applications --
,
D. Highest Weight Representations of Lie Algebras, Lie Groups, and Semigroups --
,
Chapter IX. Unitary Highest Weight Representations: Algebraic Theory --
,
Chapter X. Unitary Highest Weight Representations: Analytic Theory --
,
Chapter XI. Complex Ol'shanskiĭ Semigroups and Their Representations --
,
Chapter XII. Realization of Highest Weight Representations on Complex Domains --
,
E. Complex Geometry and Representation Theory --
,
Chapter XIII. Complex and Convex Geometry of Complex Semigroups --
,
Chapter XIV. Biinvariant Hilbert Spaces and Hardy Spaces on Complex Semigroups --
,
Chapter XV. Coherent State Representations --
,
Appendices --
,
Appendix I. Bounded Operators on Hilbert Spaces --
,
Appendix II. Spectral Measures and Unbounded Operators --
,
Appendix III. Holomorphic Functions on Infinite-Dimensional Spaces --
,
Appendix IV. Symplectic Geometry --
,
Appendix V. Simple Modules of p-Length 2 --
,
Appendix VI. Symplectic Modules of Convex Type --
,
Appendix VII. Square Integrable Representations of Locally Compact Groups --
,
Appendix VIII. The Stone - von Neumann-Mackey Theorem --
,
Bibliography --
,
List of Symbols --
,
Index
,
Issued also in print.
,
English
Additional Edition:
ISBN 3-11-015669-5
Additional Edition:
ISBN 1-306-29705-2
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110808148