Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions
The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their i...
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| Автори: | , , |
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| Співавтор: | |
| Формат: | Електронний ресурс eКнига |
| Мова: | Англійська |
| Опубліковано: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2024.
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| Редагування: | 1st ed. 2024. |
| Серія: | Operator Theory: Advances and Applications,
304 |
| Предмети: | |
| Онлайн доступ: | https://doi.org/10.1007/978-3-031-73430-4 |
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Зміст:
- - Part I Quaternionic functional analysis and related topics
- Functions of a Quaternionic Variable
- Quaternionic Banach and Hilbert Spaces
- Quaternionic Linear Operators on a Hilbert Space
- Reproducing Kernel Hilbert Spaces
- Part II Spaces of Slice Hyperholomorphic Functions
- Slice Hyperholomorphic Hardy Spaces
- de Branges Spaces
- Slice Hyperholomorphic Bergman Spaces
- Slice Hyperholomorphic Bloch, Besov and Dirichlet Spaces
- Slice Hyperholomorphic Fock Space
- Wiener Algebras
- Part III Various Extensions
- Slice Polyanalytic Functions
- Several Quaternionic Variables
- Function Spaces and Spectral Theories.