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MARC 21

Tag Description
020$a9783034801102
082$a515.724
099$aOnline Resource: Springer
100$aColombo, Fabrizio.
245$aNoncommutative Functional Calculus$hEB$bTheory and Applications of Slice Hyperholomorphic Functions$cby Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.
260$aBasel$bSpringer Basel$c2011.
300$aVI, 222 pages$bonline resource.
336$atext
338$aonline resource
440$aProgress in Mathematics ;$v289
505$a1 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.
520$aThis 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.

538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700$aSabadini, Irene.$d1965-$eauthor.
700$aStruppa, Daniele C.$eauthor.
710$aSpringerLink (Online service)
830$aProgress in Mathematics ;$v289
856$uhttp://dx.doi.org/10.1007/978-3-0348-0110-2
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