Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (Repost)
Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions by Fabrizio Colombo , Irene Sabadini , Daniele C. Struppa
English | PDF | 2011 | 228 Pages | ISBN : 3034801092 | 2.8 MB
<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>
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<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>
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