| 书目名称 | Noncommutative Functional Calculus |
| 副标题 | Theory and Applicati |
| 编辑 | Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa |
| 视频video | |
| 概述 | This book shows that the Riesz-Dunford functional calculus can be extended to n-tuples of not necessarily commuting operators. To do so, the authors develop a completely new spectral theory..The funda |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .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. . |
| 出版日期 | Book 2011 |
| 关键词 | Riesz-Dunford functional calculus; spectral theory; theory of slice hyperholomorphic functions |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0110-2 |
| isbn_softcover | 978-3-0348-0324-3 |
| isbn_ebook | 978-3-0348-0110-2Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Springer Basel AG 2011 |
发表于 2025-3-21 18:59:56
