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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