On a coefficient in trace formulas for Wiener–Hopf operators

  • Alexander V. Sobolev

    University College London, UK

Abstract

Let be a smooth function quickly decreasing at infinity. For the Wiener–Hopf operator with the symbol , and a smooth function , H. Widom in 1982 established the following trace formula:

where is given explicitly in terms of the functions and . The paper analyses the coefficient for a class of non-smooth functions assuming that is real-valued. A representative example of one such function is with some .

Cite this article

Alexander V. Sobolev, On a coefficient in trace formulas for Wiener–Hopf operators. J. Spectr. Theory 6 (2016), no. 4, pp. 1021–1045

DOI 10.4171/JST/151