ENGLISH

Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions

By Irene Sabadini , Fabrizio Colombo , Daniele C. Struppa (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2011
ISBN
3034801092, 9783034801096
DOI
10.1007/978-3-0348-0110-2
Language
english
Format
PDF
Filesize
2 MB (1934740 bytes)
Series
Progress in Mathematics 289
Edition
1
Pages
222\230
Library
Kolxo3
Time added
2011-07-22 07:35:22
Operator Theory; Functional Analysis; Functions of

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.

Similar books