Umfang:
Online-Ressource
,
v.: digital
Ausgabe:
Online-Ausg. Springer eBook Collection. Mathematics and Statistics Electronic reproduction; Available via World Wide Web
ISBN:
9783034801102
Serie:
Progress in Mathematics 289
Inhalt:
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.
Anmerkung:
Includes bibliographical references and index
,
Noncommutative Functional Calculus; Contents; Chapter 1 Introduction; Chapter 2 Slice monogenic functions; Chapter 3 Functional calculus for n-tuples of operators; Chapter 4 Quaternionic Functional Calculus; Chapter 5 Appendix: The Riesz-Dunford functional calculus; Bibliography; Index
,
Electronic reproduction; Available via World Wide Web
Weitere Ausg.:
ISBN 9783034801096
Sprache:
Englisch
Fachgebiete:
Mathematik
DOI:
10.1007/978-3-0348-0110-2
URL:
Volltext
(lizenzpflichtig)
Mehr zum Autor:
Sabadini, Irene 1965-
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