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Dewey Class 515.724
Title Noncommutative Functional Calculus (EB) : Theory and Applications of Slice Hyperholomorphic Functions / by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.
Author Colombo, Fabrizio.
Added Personal Name Sabadini, Irene. , 1965- author.
Struppa, Daniele C. author.
Other name(s) SpringerLink (Online service)
Publication Basel : Springer Basel , 2011.
Physical Details VI, 222 pages : online resource.
Series Progress in Mathematics ; ; 289
ISBN 9783034801102
Summary Note <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>:
Contents note 1 Introduction -- 2 Slice monogenic functions -- 3 Functional calculus for n-tuples of operators -- 4 Quaternionic Functional Calculus -- 5 Appendix: The Riesz-Dunford functional calculus -- Bibliography -- Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
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