Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions by Prof. Fabrizio Colom Politecnico Di MilanNoncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions by Prof. Fabrizio Colom Politecnico Di Milan

Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions

byProf. Fabrizio Colom Politecnico Di Milan, Irene Sabadini, Daniele C. Struppa

Paperback | April 21, 2013

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&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&


&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&

Title:Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic FunctionsFormat:PaperbackDimensions:222 pages, 23.5 × 15.5 × 0.17 inPublished:April 21, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3034803249

ISBN - 13:9783034803243

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Table of Contents

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