Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1843)
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Table of contents (8 chapters)
Keywords
About this book
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.
Bibliographic Information
Book Title: Spectral Properties of Noncommuting Operators
Authors: Brian Jefferies
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b97327
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2004
Softcover ISBN: 978-3-540-21923-1Published: 13 May 2004
eBook ISBN: 978-3-540-70746-2Published: 30 April 2004
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 184
Topics: Analysis, Operator Theory, Functions of a Complex Variable, Fourier Analysis