Noncommutative Functional Calculus Theory and Applications of Slice Hyperholomorphic Functions /

• Main Authors: Colombo, Fabrizio (Author), Sabadini, Irene (Author), Struppa, Daniele C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2011.
• Series: Progress in Mathematics ; 289
• Subjects: 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 valu...

Table of Contents:

• 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.