Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

Daniel Alpay (u. a.)

ISBN 10: 3031734297 / ISBN 13: 9783031734298

Published by Birkhäuser, 2024

About this Item

Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions | Daniel Alpay (u. a.) | Buch | Operator Theory: Advances and Applications | xi | Englisch | 2024 | Birkhäuser | EAN 9783031734298 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

Seller Inventory # 129969381

Bibliographic Details

• Title: Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions
• Publisher: Birkhäuser
• Publication Date: 2024
• Language: English
• ISBN 10: 3031734297
• ISBN 13: 9783031734298
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 25D millimeters 241 millimeters width by 160 millimeters height by 25 millimeters depth
• Weight: 703 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.

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.