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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Example of a nonrectifiable Nevanlinna contour
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by M. Ya. Mazalov
Translated by: S. Kislyakov
St. Petersburg Math. J. 27 (2016), 625-630
DOI: https://doi.org/10.1090/spmj/1409
Published electronically: June 2, 2016
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Abstract:

Nevanlinna contours (and domains) were introduced by K. Yu. Fedorovskiĭ in connection with the problem of uniform approximation of continuous functions by polyanalytic polynomials; also, these contours are related to pseudocontinuation of analytic functions, to the theory of model spaces, etc. An example of a nonrectifiable Nevanlinna contour is constructed in this paper for the first time.
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Bibliographic Information
  • M. Ya. Mazalov
  • Affiliation: National Research University “Moscow energy institute”, Energeticheskiĭ proezd 1, Smolensk, Russia
  • Email: maksimmazalov@yandex.ru
  • Received by editor(s): February 10, 2015
  • Published electronically: June 2, 2016
  • Additional Notes: The author was supported in part by RFBR (grant no. 12-01-00434-a), and by the program “Leading Scientific Schools of the Russian Federation” (grant no. NSh-2900.2014.1)
  • © Copyright 2016 American Mathematical Society
  • Journal: St. Petersburg Math. J. 27 (2016), 625-630
  • MSC (2010): Primary 30C20
  • DOI: https://doi.org/10.1090/spmj/1409
  • MathSciNet review: 3580191