Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions
Produktnummer:
189e64fe5d66064d07a70729e4439d080e
Autor: | Alpay, Daniel Colombo, Fabrizio Sabadini, Irene |
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Themengebiete: | Frechet Spaces Quaternionic Functions Quaternionic Linear Operator Quaternionic Stochastic Processes Reproducing Kernel Hilbert Spaces Slice Poly-Hyperholomorphic Functions |
Veröffentlichungsdatum: | 10.12.2024 |
EAN: | 9783031734298 |
Sprache: | Englisch |
Seitenzahl: | 348 |
Produktart: | Gebunden |
Verlag: | Springer International Publishing |
Produktinformationen "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 intrinsic interest, such spaces have numerous applications.The book is divided into three parts. In the first part, some foundational material on quaternionic functions and functional analysis are introduced. The second part is the core of the book and contains various types of functions spaces ranging from the Hardy spaces, also in the fractional case, to the Fock space extended to the case of quaternions. The third and final part present some further generalization.Researchers in functional analysis and hypercomplex analysis will find this book a key contribution to their field, but also researchers in mathematical physics, especially in quantum mechanics, will benefit from the insights presented.

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