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.
Produktkennzeichnungen
ISBN-10
3034801092
ISBN-13
9783034801096
eBay Product ID (ePID)
159624828
Produkt Hauptmerkmale
Sprache
Englisch
Anzahl der Seiten
Vi Seiten
Verlag
Springer Basel, Springer Basel Ag
Publikationsname
Noncommutative Functional Calculus
Autor
Fabrizio Colombo
Format
Gebundene Ausgabe
Erscheinungsjahr
2011
Zusätzliche Produkteigenschaften
Hörbuch
No
Inhaltsbeschreibung
Book
Item Length
24cm
Item Height
1cm
Item Width
16cm
Mitautor
Irene Sabadini, Daniele C. Struppa
Buchreihe
Progress in Mathematics
Item Weight
512g
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