Spectral Properties of Noncommuting Operators

Brian R. Jefferies

ISBN 10: 3540219234 / ISBN 13: 9783540219231

Published by Springer, Springer Vieweg, 2004

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Forming functions of operators is a basic task of many areas of linear analysis and quantum physics. Weyl's functional calculus, initially applied to the position and momentum operators of quantum mechanics, also makes sense for finite systems of selfadjoint operators. By using the Cauchy integral formula available from Clifford analysis, the book examines how functions of a finite collection of operators can be formed when the Weyl calculus is not defined. The technique is applied to the determination of the support of the fundamental solution of a symmetric hyperbolic system of partial differential equations and to proving the boundedness of the Cauchy integral operator on a Lipschitz surface.

Seller Inventory # 9783540219231

Bibliographic Details

• Title: Spectral Properties of Noncommuting Operators
• Publisher: Springer, Springer Vieweg
• Publication Date: 2004
• Language: English
• ISBN 10: 3540219234
• ISBN 13: 9783540219231
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 11D millimeters 235 millimeters width by 155 millimeters height by 11 millimeters depth
• Weight: 306 grams

About this title

Synopsis

Forming functions of operators is a basic task of many areas of linear analysis and quantum physics. Weyl’s functional calculus, initially applied to the position and momentum operators of quantum mechanics, also makes sense for finite systems of selfadjoint operators. By using the Cauchy integral formula available from Clifford analysis, the book examines how functions of a finite collection of operators can be formed when the Weyl calculus is not defined. The technique is applied to the determination of the support of the fundamental solution of a symmetric hyperbolic system of partial differential equations and to proving the boundedness of the Cauchy integral operator on a Lipschitz surface.