Support of the measure in an integral representation for a Nevanlinna function defined by a limit periodic continued fraction

V. I. Buslaev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: In terms of a continued fraction with limit-periodic parameters, which is similar to a Schur continued fraction and converges to a Nevanlinna function, a representation for the support of the measure associated with the limiting Nevanlinna function is obtained.
Bibliography: 14 titles.

Keywords: analogue of a Schur continued fraction, integral representation of a Nevanlinna function.

MSC: 30B70, 30E20, 30H05

Received: 05.05.2025 and 08.09.2025

DOI: 10.4213/sm10341

 English version: Sbornik: Mathematics, 2025, 216:11, 1528–1546

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