Holomorphy and Convexity in Lie Theory / / Karl-Hermann Neeb.

• Superior document: Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
• VerfasserIn: Neeb, Karl-Hermann,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©2000
• Year of Publication: 2011
• Edition: Reprint 2011
• Language: English
• Series: De Gruyter Expositions in Mathematics , 28
• Physical Description: 1 online resource (778 p.) :; Num. figs.
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110808148; 9783110494969; 9783110238570; 9783110238471; 9783110637205; 9783110233957
• ISSN: 0938-6572
• DOI: 10.1515/9783110808148
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Karl-Hermann Neeb.