Sobolev, AV;
(2016)
On a coefficient in trace formulas for Wiener-Hopf operators.
Journal of Spectral Theory
, 6
(4)
pp. 1021-1045.
10.4171/JST/151.
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Abstract
Let a=a(ξ),ξ∈R, a=a(ξ),ξ∈R, be a smooth function quickly decreasing at infinity. For the Wiener–Hopf operator W(a) W(a) with the symbol a a , and a smooth function g:C→C g:C→C , H. Widom in 1982 established the following trace formula: tr(g(W(a))−W(g∘a))=B(a;g), tr(g(W(a))−W(g∘a))=B(a;g), where B(a;g) B(a;g) is given explicitly in terms of the functions a a and g g . The paper analyses the coefficient B(a;g) B(a;g) for a class of non-smooth functions g g assuming that a a is real-valued. A representative example of one such function is g(t)=|t| γ g(t)=|t|γ with some γ∈(0,1].
| Type: | Article |
|---|---|
| Title: | On a coefficient in trace formulas for Wiener-Hopf operators |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4171/JST/151 |
| Publisher version: | http://dx.doi.org/10.4171/JST/151 |
| Language: | English |
| Additional information: | Copyright © 2017 EMS Publishing House. All rights reserved. |
| Keywords: | Wiener–Hopf operators, trace formula |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1544385 |
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