%0 Journal Article
%T Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains
%A A. V. Sobolev
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s00020-014-2185-2
%X We prove a two-term quasi-classical trace asymptotic formula for the functions of multi-dimensional Wiener-Hopf operators with discontinuous symbols. The discontinuities occur on the surfaces which are assumed to be piece-wise smooth. Such a two-term formula was conjectured by H. Widom in 1982, and proved by A. V Sobolev for smooth surfaces in 2009.
%U http://arxiv.org/abs/1312.1835v2