Direct Cauchy theorem and Fourier integral in Widom domains

Peter Yuditskii

doi:10.1007/s11854-020-0122-7

Direct Cauchy theorem and Fourier integral in Widom domains

Peter Yuditskii

Johannes Kepler University Linz

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We derive the Fourier integral associated with the complex Martin function in the Denjoy domain of the Widom type with the Direct Cauchy Theorem (DCT). As an application we study canonical systems and corresponding transfer matrices generated by reflectionless Weyl-Titchmarsh functions in such domains. The DCT property appears to be crucial in many aspects of the underlying theory.

Original language	English
Pages (from-to)	411-439
Number of pages	29
Journal	Journal d'Analyse Mathematique
Volume	141
Issue number	1
DOIs	https://doi.org/10.1007/s11854-020-0122-7
State	Published - Sep 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020, The Hebrew University of Jerusalem.

Funding

The author would like to express his gratitude to Benjamin Eichinger and Roman Bessonov for very helpful discussions. This work was supported by the Austrian Science Fund FWF, project no: P29363-N32.

Funders	Funder number
Austrian Science Fund FWF
Austrian Science Fund	P29363-N32

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10.1007/s11854-020-0122-7

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Direct Cauchy theorem and Fourier integral in Widom domains

Abstract

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