Enviar artigo por via de e-mail Support of the measure in an integral representation for a Nevanlinna function defined by a limit periodic continued fraction
- Autores: Buslaev V.I.1
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
- Edição: Volume 216, Nº 11 (2025)
- Páginas: 41-61
- Seção: Articles
- URL: https://ogarev-online.ru/0368-8666/article/view/351334
- DOI: https://doi.org/10.4213/sm10341
- ID: 351334
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Somente assinantes
Resumo
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.
Sobre autores
Viktor Buslaev
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Email: buslaev@mi-ras.ru
Scopus Author ID: 6701689693
Researcher ID: Q-3983-2016
Doctor of physico-mathematical sciences, no status
Bibliografia
- J. Schur, “Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind”, J. Reine Angew. Math., 1917:147 (1917), 205–232
- G. Herglotz, “Über Potenzreihen mit positivem, reellem Teil im Einheitskreis”, Leipz. Ber., 63 (1911), 501–511
- E. B. Saff, V. Totik, Logarithmic potentials with external fields, Appendix B by T. Bloom, Grundlehren Math. Wiss., 316, Springer-Verlag, Berlin, 1997, xvi+505 pp.
- G. Polya, “Über gewisse notwendige Determinantenkriterien für die Fortsetzbarkeit einer Potenzreihe”, Math. Ann., 99:1 (1928), 687–706
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