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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Extensions of a theorem of Marcinkiewicz-Zygmund and of Rogosinski’s formula and an application to Universal Taylor series
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by E. S. Katsoprinakis and M. Papadimitrakis
Proc. Amer. Math. Soc. 127 (1999), 2083-2090
DOI: https://doi.org/10.1090/S0002-9939-99-05150-3
Published electronically: March 16, 1999
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Abstract:

This paper extends Rogosinski’s formula and the Marcinkiewicz-Zygmund Theorem about circular structure of the limit points of the partial sums of (C,1) summable Taylor series. Also a result about summability of $H^p$ Taylor series is proved and an application on Universal Taylor series is given.
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Bibliographic Information
  • E. S. Katsoprinakis
  • Affiliation: Department of Mathematics, University of Crete, 714 09 Heraklion - Crete, Greece
  • Email: katsopr@talos.cc.uch.gr
  • M. Papadimitrakis
  • Affiliation: Department of Mathematics, University of Crete, 714 09 Heraklion - Crete, Greece
  • Email: papadim@talos.cc.uch.gr
  • Received by editor(s): October 13, 1997
  • Published electronically: March 16, 1999
  • Communicated by: Albert Baernstein II
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 2083-2090
  • MSC (1991): Primary 30B30; Secondary 41A58, 42A24, 30E10
  • DOI: https://doi.org/10.1090/S0002-9939-99-05150-3
  • MathSciNet review: 1641646