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Noncommutative Functional Calculus

Noncommutative Functional Calculus

Theory and Applications of Slice Hyperholomorphic Functions

by Irene SabadiniProf. Fabrizio Colombo Politecnico di Milano and Daniele C. Struppa
Paperback
Publication Date: 21/04/2013

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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.
ISBN:
9783034803243
9783034803243
Category:
Calculus & mathematical analysis
Format:
Paperback
Publication Date:
21-04-2013
Language:
English
Publisher:
Birkhauser Verlag AG
Country of origin:
Switzerland
Pages:
222
Dimensions (mm):
235x155x15mm
Weight:
0.35kg

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