Progress in Mathematics: Theory and Applications of Slice Hyperholomorphic Functions

Politecnico di Milano, Prof. Fabrizio Colombo; Sabadini, Irene; Struppa, Daniele C.

<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>

<br> 

<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>

Details

Published by: Birkhäuser

Publication Date: 2011-03-23

Format: Hardcover

ISBN-13: 9783034801096

DOI: 10.1007/978-3-0348-0110-2

Dimensions: 235cm x155cm

Pages: 222