|
" Noncommutative functional calculus : "
Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
1023075
|
| Doc. No
|
:
|
b777445
|
| Main Entry
|
:
|
Colombo, Fabrizio.
|
| Title & Author
|
:
|
Noncommutative functional calculus : : theory and applications of slice hyperholomorphic functions /\ Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.
|
| Publication Statement
|
:
|
Basel :: Birkhäuser,, ©2011.
|
| Series Statement
|
:
|
Progress in mathematics ;; v. 289
|
| Page. NO
|
:
|
1 online resource (vi, 221 pages)
|
| ISBN
|
:
|
3034801092
|
|
|
:
|
: 3034801106
|
|
|
:
|
: 9783034801096
|
|
|
:
|
: 9783034801102
|
|
|
:
|
9783034801096
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references (pages 211-217) and index.
|
| Contents
|
:
|
Introduction -- Slice monogenic functions -- Functional calculus for [n]-tuples of operators -- Quaternionic functional calculus -- Appendix : the Riesz-Dunford functional calculus.
|
| Abstract
|
:
|
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.
|
| Subject
|
:
|
Functional analysis.
|
| Subject
|
:
|
Functional analysis.
|
| Subject
|
:
|
MATHEMATICS-- Functional Analysis.
|
| Dewey Classification
|
:
|
515/.7
|
| LC Classification
|
:
|
QA320.C65 2011
|
| Added Entry
|
:
|
Sabadini, Irene,1965-
|
|
|
:
|
Struppa, Daniele Carlo,1955-
|
| |