Noncommutative Functional Calculus : Theory and Applications of Slice Hyperholomorphic Functions

Fabrizio Colombo Politecnico Di Milano

ISBN 10: 3034803249 / ISBN 13: 9783034803243

Published by Springer Basel, 2013

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783034803243

Bibliographic Details

• Title: Noncommutative Functional Calculus : Theory and Applications of Slice Hyperholomorphic Functions
• Publisher: Springer Basel
• Publication Date: 2013
• Language: English
• ISBN 10: 3034803249
• ISBN 13: 9783034803243
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 13D millimeters 235 millimeters width by 155 millimeters height by 13 millimeters depth
• Weight: 353 grams

About this title

Synopsis

<i>This book presents a functional calculus for <i>n</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>

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<p>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.</p>