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OverviewThis 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. Full Product DetailsAuthor: Fabrizio Colombo , Irene Sabadini , Daniele C StruppaPublisher: Springer Imprint: Springer Dimensions: Width: 23.40cm , Height: 1.20cm , Length: 15.60cm Weight: 0.327kg ISBN: 9783034801119ISBN 10: 3034801114 Pages: 230 Publication Date: 30 March 2011 Audience: General/trade , General Format: Undefined Publisher's Status: Unknown Availability: Not yet available  This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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