Direct Cauchy Theorem and Fourier integral in Widom domains
Spectral Theory
2018-12-04 v1
Abstract
We derive Fourier integral associated to the complex Martin function in the Denjoy domain of Widom type with the Direct Cauchy Theorem (DCT). As an application we study reflectionless Weyl-Titchmarsh functions in such domains, related to them canonical systems and transfer matrices. The DCT property appears to be crucial in many aspects of the underlying theory.
Keywords
Cite
@article{arxiv.1812.00612,
title = {Direct Cauchy Theorem and Fourier integral in Widom domains},
author = {Peter Yuditskii},
journal= {arXiv preprint arXiv:1812.00612},
year = {2018}
}