Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains
Spectral Theory
2014-10-27 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1312.1835,
title = {Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains},
author = {A. V. Sobolev},
journal= {arXiv preprint arXiv:1312.1835},
year = {2014}
}
Comments
15 pages