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Noncommutative Functional Calculus : Theory and Applications of Slice Hyperholomorphic Functions / by Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini, Daniele C. Struppa
(Progress in Mathematics. ISSN:2296505X ; 289)
Edition | 1st ed. 2011. |
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Publisher | Basel : Springer Basel : Imprint: Birkhäuser |
Year | 2011 |
Language | English |
Size | VI, 222 p : online resource |
Authors | *Politecnico di Milano, Prof. Fabrizio Colombo author Sabadini, Irene author Struppa, Daniele C author SpringerLink (Online service) |
Subjects | LCSH:Operator theory LCSH:Functional analysis LCSH:Functions of complex variables FREE:Operator Theory FREE:Functional Analysis FREE:Functions of a Complex Variable |
Notes | 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 <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> HTTP:URL=https://doi.org/10.1007/978-3-0348-0110-2 |
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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9783034801102 |
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EB00229788 |
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Material Type | E-Book |
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Classification | LCC:QA329-329.9 DC23:515.724 |
ID | 4000118196 |
ISBN | 9783034801102 |
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