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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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On solutions of convolution equations in spaces of ultradifferentiable functions
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by D. A. Polyakova
Translated by: S. V. Kislyakov
St. Petersburg Math. J. 26 (2015), 949-963
DOI: https://doi.org/10.1090/spmj/1369
Published electronically: September 21, 2015
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Abstract:

A representation for a particular and the general solution is established for convolution equations in nonquasianalytic Beurling spaces ultradifferentiable functions of mean type on a finite interval. As a particular case, differential equations of infinite order with constant coefficients are studied.
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Bibliographic Information
  • D. A. Polyakova
  • Affiliation: Southern Federal University, ul. Mil′chakova 8a, Rostov-on-Don 344090, Russia; Southern Mathematical Institute, VNTS RAS and RNO-A, ul. Markusa 22, Vladikavkaz 362027, Russia
  • Email: forsites1@mail.ru
  • Received by editor(s): May 19, 2014
  • Published electronically: September 21, 2015
  • Additional Notes: Supported by RFBR (grant no. 14-01-31083)
  • © Copyright 2015 American Mathematical Society
  • Journal: St. Petersburg Math. J. 26 (2015), 949-963
  • MSC (2010): Primary 44A35; Secondary 46E10
  • DOI: https://doi.org/10.1090/spmj/1369
  • MathSciNet review: 3443259