Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions Contributor(s): Politecnico Di Milano, Prof Fabrizio Col (Author), Sabadini, Irene (Author), Struppa, Daniele C. (Author) |
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ISBN: 3034801092 ISBN-13: 9783034801096 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: March 2011 |
Additional Information |
BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Functional Analysis - Mathematics | Complex Analysis |
Dewey: 515 |
Series: Progress in Mathematics |
Physical Information: 0.7" H x 6.1" W x 9.2" (1.00 lbs) 222 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |