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Noncommutative Functional Calculus
Theory and Applications of Slice Hyperholomorphic Functions
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783034801102
Veröffentl:
2011
Seiten:
222
Autor:
Fabrizio Colombo Politecnico Di Milano
Serie:
289, Progress in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
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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