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A Panorama of Modern Operator Theory and Related TopicsFirst-order Trace Formulae for the Iterates of the Fox–Li Operator

A Panorama of Modern Operator Theory and Related Topics: First-order Trace Formulae for the... [The paper is devoted to first-order trace formulas for the iterates of the Fox–Li and related Wiener–Hopf integral operators. Such formulas provide first insight into the asymptotic behaviour of the eigenvalues and can be used to test whether a specific guess for the eigenvalue distribution is acceptable or not. The main technical problem consists in obtaining the asymptotics of a multivariate oscillatory integral whose stationary points constitute a line.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Panorama of Modern Operator Theory and Related TopicsFirst-order Trace Formulae for the Iterates of the Fox–Li Operator

Part of the Operator Theory: Advances and Applications Book Series (volume 218)
Editors: Dym, Harry; Kaashoek, Marinus A.; Lancaster, Peter; Langer, Heinz; Lerer, Leonid
Böttcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh
Springer Journals — Jan 3, 2012
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18 pages

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Publisher
Springer Basel
Copyright
© Springer Basel AG 2012
ISBN
978-3-0348-0220-8
Pages
207 –224
DOI
10.1007/978-3-0348-0221-5_8
Publisher site
See Chapter on Publisher Site

Abstract

[The paper is devoted to first-order trace formulas for the iterates of the Fox–Li and related Wiener–Hopf integral operators. Such formulas provide first insight into the asymptotic behaviour of the eigenvalues and can be used to test whether a specific guess for the eigenvalue distribution is acceptable or not. The main technical problem consists in obtaining the asymptotics of a multivariate oscillatory integral whose stationary points constitute a line.]

Published: Jan 3, 2012

Keywords: Fox–Li operator; Wiener–Hopf operator; eigenvalue; trace formula.

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