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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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Noncomplete systems of exponentials on arcs and Carleman nonquasianalytic classes. II
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by A. M. Gaĭsin and R. A. Gaĭsin
Translated by: S. Kislyakov
St. Petersburg Math. J. 27 (2016), 33-50
DOI: https://doi.org/10.1090/spmj/1375
Published electronically: December 7, 2015

Abstract:

In terms of the noncompleteness of a system of exponentials, a criterion is established for the nontriviality of the Siddiqi class on an arc of bounded slope all chords of which have slope strictly smaller than one.
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Bibliographic Information
  • A. M. Gaĭsin
  • Affiliation: Institute of Mathematics with Computer Center, Russian Academy of Sciences, ul. Chernyshevskogo 112, 450008 Ufa, Bashkir State University 450074, Ufa, ul. Zaki Validi, 32, Russia
  • Email: gaisinam@mail.ru
  • R. A. Gaĭsin
  • Affiliation: Bashkir State University, ul. Zaki Validi 32, 450074 Ufa, Russia
  • Email: rashit.gajsin@mail.ru
  • Received by editor(s): April 1, 2014
  • Published electronically: December 7, 2015
  • © Copyright 2015 American Mathematical Society
  • Journal: St. Petersburg Math. J. 27 (2016), 33-50
  • MSC (2010): Primary 30D60; Secondary 26E10
  • DOI: https://doi.org/10.1090/spmj/1375
  • MathSciNet review: 3443265