Полное описание

Colombo, F. Noncommutative Functional Calculus : theory and Applications of Slice Hyperholomorphic Functions / by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa. - Basel : Springer, 2011. - on-line. - (Progress in Mathematics, ISSN 0743-1643 ; vol. 289). - URL: http://dx.doi.org/10.1007/978-3-0348-0110-2. - Загл. с экрана. - ISBN 978-3-0348-0110-2. - Текст : электронный.
Содержание:
1 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.

ГРНТИ	УДК
27.27	517.53/.55

Рубрики:
mathematics
functional analysis
functions of complex variables
operator theory
mathematics
operator Theory
functional Analysis
functions of a Complex Variable

Аннотация: iThis book presents a functional calculus for in/i-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./i br  pExcept 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./p.
Доп. точки доступа:
Sabadini, I.
Struppa, D.

http://dx.doi.org/10.1007/978-3-0348-0110-2

Держатели документа:
Государственная публичная научно-техническая библиотека России : 123298, г. Москва, ул. 3-я Хорошевская, д. 17 (Шифр в БД-источнике (KATBW): -322378472)

Шифр в сводном ЭК: 827124ba9e1c4362698ab2c45d0836af

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