Free Delivery Over $100
|
|
|||
|
||||
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: Prof. Fabrizio Colombo Politecnico di Milano , Irene Sabadini , Daniele C. StruppaPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2011 ed. Volume: 289 Dimensions: Width: 15.50cm , Height: 1.80cm , Length: 23.50cm Weight: 0.512kg ISBN: 9783034801096ISBN 10: 3034801092 Pages: 222 Publication Date: 23 March 2011 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
