Direct Cauchy Theorem and Fourier integral in Widom domains

Autor:	Yuditskii, Peter
Rok vydání:	2018
Předmět:	Mathematics - Spectral Theory 47B32 46E22 30F35
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.00612 Zobrazit plný text záznamu View this record from Arxiv