Spectral Properties of Noncommuting Operators

• Main Author: Jefferies, Brian R. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Mathematics, 1843
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Operator theory.; Functions of complex variables.; Fourier analysis.; Analysis.; Operator Theory.; Functions of a Complex Variable.; Fourier Analysis.

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 integ...

Table of Contents:

• Introduction
• Weyl Calculus
• Clifford Analysis
• Functional Calculus for Noncommuting Operators
• The Joint Spectrum of Matrices
• The Monogenic Calculus for Sectorial Operators
• Feynman's Operational Calculus
• References
• Index.