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Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions (Operator Theory: Advances and Applications)

By: Daniel Alpay (Author) , Fabrizio Colombo (Author) , Irene Sabadini (Author)

Extended Catalogue

Ksh 31,900.00

Format: Hardback or Cased Book

ISBN-10: 3031734297

ISBN-13: 9783031734298

Collection / Series: Operator Theory: Advances and Applications

Collection Type: Publisher collection

Edition statement: 2024 ed.

Publisher: Birkhauser Verlag AG

Imprint: Birkhauser Verlag AG

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Dec 10th, 2024

Publication Status: Active

Product extent: 348 Pages

Product Classification / Subject(s): Functional analysis & transforms

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The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. 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 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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