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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2025 Volume 216, Number 11, Pages 41–61 (Mi sm10341)

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 the Nevanlinna function, a representation for the support of the measure associated with the limiting Nevanlinna function is obtained.

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

Received: 05.05.2025 and 08.09.2025

DOI: 10.4213/sm10341



© Steklov Math. Inst. of RAS, 2025