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130626 ||| eng |
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|a 9783034801102
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|a Politecnico di Milano, Prof. Fabrizio Colombo
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| 245 |
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|a Noncommutative Functional Calculus
|h Elektronische Ressource
|b Theory and Applications of Slice Hyperholomorphic Functions
|c by Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini, Daniele C. Struppa
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| 250 |
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|a 1st ed. 2011
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| 260 |
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|a Basel
|b Birkhäuser
|c 2011, 2011
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| 300 |
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|a VI, 222 p
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Functional analysis
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| 653 |
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|a Functions of complex variables
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Functions of a Complex Variable
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| 653 |
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|a Operator theory
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| 653 |
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|a Operator Theory
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| 700 |
1 |
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|a Sabadini, Irene
|e [author]
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| 700 |
1 |
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|a Struppa, Daniele C.
|e [author]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Progress in Mathematics
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| 028 |
5 |
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|a 10.1007/978-3-0348-0110-2
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-0348-0110-2?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515.724
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| 520 |
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|a <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>
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