Untertitel:: Theory and Applications of Slice Hyperholomorphic Functions
Verlag:: BIRKHÄUSER
Erschienen:: 18.03.2011
Seitenanzahl:: 222
ISBN:: 3034801106
EAN:: 9783034801102
Sprache:: Englisch
Format:: PDF
Schutz:: Dig. Wass.
Downloadzeit:: Maximaler Downloadzeitraum: 24 Monate

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Noncommutative Functional Calculus

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

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.