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Noncommutative Functional Calculus

Noncommutative Functional Calculus
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US$ 129.00
The book contains recent results concerning a functional calulus for n-tuples of not necessarily commuting linear operators and for quaternionic linear operators. 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 and, in particular, for functions with values in the algebra of quaternions the so-called slice regular functions. All the results in the book are new (except for an Appendix on the Riesz-Dunford functional calculus and for a short introduction to Clifford algebras) and appear for the first time organized in a monograph. All the material presented is self contained. The intended audience consists of researcher in in operator theory, spectral theory, hypercomplex analysis, and mathematical physics as well as graduate and postgraduate students.
Springer; March 2011
227 pages; ISBN 9783034801102
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