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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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General solution of the homogeneous convolution equation in spaces of ultradifferentiable functions
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by D. A. Polyakova
Translated by: V. V. Kapustin
St. Petersburg Math. J. 31 (2020), 85-105
DOI: https://doi.org/10.1090/spmj/1587
Published electronically: December 3, 2019
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Abstract:

An exponential-polynomial basis is constructed in the space of all solutions of a homogeneous convolution equation in the Beurling spaces of ultradifferentiable functions of mean type on the real axis.
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Bibliographic Information
  • D. A. Polyakova
  • Affiliation: Southern Federal University, Mil′chakov str. 8a, 344090 Rostov-on-Don, Russia; Southern Mathematical Institute of Vladikavkaz Scientific Center of RAS, Markus str. 22, 362027 Vladikavkaz, Russia
  • Email: forsites1@mail.ru
  • Received by editor(s): November 26, 2017
  • Published electronically: December 3, 2019
  • © Copyright 2019 American Mathematical Society
  • Journal: St. Petersburg Math. J. 31 (2020), 85-105
  • MSC (2010): Primary 44A35; Secondary 46E10
  • DOI: https://doi.org/10.1090/spmj/1587
  • MathSciNet review: 3932820