Noncommutative Functional Calculus Theory and Applications of Slice Hyperholomorphic Functions

Noncommutative Functional Calculus Theory and Applications of Slice Hyperholomorphic Functions / by Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini, Daniele C. Struppa.

<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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Bibliographic Details
Main Authors: Politecnico di Milano, Prof. Fabrizio Colombo (Author), Sabadini, Irene (Author), Struppa, Daniele C. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2011.
Edition:1st ed. 2011.
Series:Progress in Mathematics, 289
Springer eBook Collection.
Subjects:
Operator theory.
Functional analysis.
Functions of complex variables.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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