Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions
Language: English
Published by Springer, Berlin, Springer Nature Switzerland, Birkhäuser, 2024
- Hardcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
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Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - Neuware -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. 348 pp. Englisch. …
Seller Inventory # 9783031734298
- Title
- Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions
- Author
- Daniel Alpay
- Publisher
- Springer, Berlin, Springer Nature Switzerland, Birkhäuser
- Publication year
- 2024
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3031734297
- ISBN 13
- 9783031734298
- Dimensions
- 235x155x35 mm
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.
"Synopsis" may belong to another edition of this title.
About the Author
Daniel Alpay, Foster G. and Mary McGaw Professorship in Mathematical Sciences, Chapman University
Fabrizio Colombo is professor at the Politecnico di Milano, Italy.
Irene Sabadini is professor at the Politecnico di Milano, Italy.
"About the title" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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