Prof Fabrizio Colombo Politecnico Di Milano

(Author)

Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic FunctionsHardcover, 23 March 2011

Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions
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Part of Series
Progress in Mathematics
Print Length
222 pages
Language
English
Publisher
Birkhauser
Date Published
23 Mar 2011
ISBN-10
3034801092
ISBN-13
9783034801096

Description

This book presents a functional calculus for n-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.

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.

Product Details

Authors:
Prof Fabrizio Colombo Politecnico Di MilanoIrene SabadiniDaniele C Struppa
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
23 March 2011
Dimensions:
23.37 x 15.49 x 1.78 cm
ISBN-10:
3034801092
ISBN-13:
9783034801096
Language:
English
Location:
Basel
Pages:
222
Publisher:
Weight:
453.59 gm

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