Noncommutative Functional Calculus Theory and Applications of Slice Hyperholomorphic Functions /

• Κύριοι συγγραφείς: Colombo, Fabrizio (Συγγραφέας), Sabadini, Irene (Συγγραφέας), Struppa, Daniele C. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2011.
• Σειρά: Progress in Mathematics ; 289
• Θέματα: Mathematics.; Functional analysis.; Functions of complex variables.; Operator theory.; Operator Theory.; Functional Analysis.; Functions of a Complex Variable.

 <i>This book presents a functional calculus for <i>n</i>-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.</i> <br>  <p>Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory,  hypercomplex analysis, and mathematical physics.</p>. 

 1 Introduction -- 2 Slice monogenic functions -- 3 Functional calculus for n-tuples of operators -- 4 Quaternionic Functional Calculus -- 5 Appendix: The Riesz-Dunford functional calculus -- Bibliography -- Index.