Noncommutative Functional Calculus : Theory and Applications of Slice Hyperholomorphic Functions

<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...

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Main Authors: Politecnico di Milano, Prof. Fabrizio Colombo, Sabadini, Irene (Author), Struppa, Daniele C. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Basel Springer Basel 2011, 2011
Edition:1st ed. 2011
Series:Progress in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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