Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions: 304 (Operator Theory: Advances and Applications) - Softcover

Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene

Softcover

ISBN 10: 3031734327 ISBN 13: 9783031734328

Verlag: Birkhäuser, 2025

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2025
• Sprache: Englisch
• ISBN 10: 3031734327
• ISBN 13: 9783031734328
• Einband: Tapa blanda
• Anzahl der Seiten: 360
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland