A spectral Szegő theorem on the real line

Roman Bessonov, Sergey Denisov

Research output


We characterize even measures μ=wdx+μs on the real line R with finite entropy integral [Formula presented] in terms of 2×2 Hamiltonians generated by μ in the sense of the inverse spectral theory. As a corollary, we obtain criterion for spectral measure of Krein string to have converging logarithmic integral.

Original languageEnglish
Article number106851
JournalAdvances in Mathematics
Early online date25 Oct 2019
Publication statusPublished - 7 Jan 2020

Scopus subject areas

  • Mathematics(all)

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