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Analysis and Geometry on Complex Homogeneous Domains
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Introduction
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Chapter 2
Hilbert Spaces of Holomorphic Functions
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Chapter 3
Invariant Cones in a Lie Algebra and Complex Semi-groups
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Chapter 4
Positive Unitary Representations
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Chapter 5
Hilbert Function Spaces on Complex Semi-groups
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Chapter 6
Hilbert Function Spaces on a Complex Olshanski Semi-group in SL (2, ℂ)
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Chapter 7
Hilbert Function Spaces on a Complex Olshanski Semi-group in a Complex Semi-simple Lie Group
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Chapter 8
Introduction
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Chapter 9
Semisimple Graded Lie Algebras
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Chapter 10
Symmetric R-Spaces
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Chapter 11
Pseudo-Hermitian Symmetric Spaces
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Chapter 12
Introduction
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Chapter 13
Bergman Kernel and Bergman Metric
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Chapter 14
Symmetric Domains and Symmetric Spaces
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Chapter 15
Construction of the Hermitian Symmetric Spaces
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Chapter 16
Structure of Symmetric Domains
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Chapter 17
The Weighted Bergman Spaces
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Chapter 18
Differential Operators
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Chapter 19
Function Spaces
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Chapter 20
Introduction
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Chapter 21
The Laplace-Beltrami Operator in Various Coordinates
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Chapter 22
The Integral Transformations
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Chapter 23
The Heat Kernel of the Hyperball R ℝ ( m , n )
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Chapter 24
The Harmonic Forms on the Complex Grassmann Manifold
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Chapter 25
The Horo-hypercircle Coordinate of a Complex Hyperball
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Chapter 26
The Heat Kernel of R II (m)
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Chapter 27
The Matrix Representation of NIRGSS
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Chapter 28
Introduction
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Chapter 29
Polynomial Identities
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Chapter 30
Jordan Algebras
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Chapter 31
The Quasi-inverse
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Chapter 32
The Generic Minimal Polynomial
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Chapter 33
Tripotents and Peirce Decomposition
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Chapter 34
Hermitian Positive JTS
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Chapter 35
Further Results and Open Problems
Overall attention for this book and its chapters
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syllabi
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Book overview
1. Introduction
2. Hilbert Spaces of Holomorphic Functions
3. Invariant Cones in a Lie Algebra and Complex Semi-groups
4. Positive Unitary Representations
5. Hilbert Function Spaces on Complex Semi-groups
6. Hilbert Function Spaces on a Complex Olshanski Semi-group in SL (2, ℂ)
7. Hilbert Function Spaces on a Complex Olshanski Semi-group in a Complex Semi-simple Lie Group
8. Introduction
9. Semisimple Graded Lie Algebras
10. Symmetric R-Spaces
11. Pseudo-Hermitian Symmetric Spaces
12. Introduction
13. Bergman Kernel and Bergman Metric
14. Symmetric Domains and Symmetric Spaces
15. Construction of the Hermitian Symmetric Spaces
16. Structure of Symmetric Domains
17. The Weighted Bergman Spaces
18. Differential Operators
19. Function Spaces
20. Introduction
21. The Laplace-Beltrami Operator in Various Coordinates
22. The Integral Transformations
23. The Heat Kernel of the Hyperball R ℝ ( m , n )
24. The Harmonic Forms on the Complex Grassmann Manifold
25. The Horo-hypercircle Coordinate of a Complex Hyperball
26. The Heat Kernel of R II (m)
27. The Matrix Representation of NIRGSS
28. Introduction
29. Polynomial Identities
30. Jordan Algebras
31. The Quasi-inverse
32. The Generic Minimal Polynomial
33. Tripotents and Peirce Decomposition
34. Hermitian Positive JTS
35. Further Results and Open Problems
Summary
Syllabi
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https://opensyllabus.org/
So far, Altmetric has seen this research output assigned in
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Institution
Syllabi count
Course subject areas covered
Georg-August Universität Göttingen
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Performing Arts