Direct Cauchy Theorem and Fourier integral in Widom domains

Peter Yuditskii

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arXiv · 1812.00612

Direct Cauchy Theorem and Fourier integral in Widom domains

Peter Yuditskii

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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.

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BibTeX RIS

Peter Yuditskii. 2018-12-03. Direct Cauchy Theorem and Fourier integral in Widom domains. https://arxiv.org/abs/1812.00612

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