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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Functional analysis proofs of Abel’s theorems
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by M. T. Karaev PDF
Proc. Amer. Math. Soc. 132 (2004), 2327-2329 Request permission

Abstract:

We give alternative proofs to the classical theorems of Abel, using the concept of Berezin symbol.
References
  • A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
  • R. E. Powell and S. M. Shah, Summability theory and applications, Van Nostrand Reinhold, London, 1972.
  • Eric Nordgren and Peter Rosenthal, Boundary values of Berezin symbols, Nonselfadjoint operators and related topics (Beer Sheva, 1992) Oper. Theory Adv. Appl., vol. 73, Birkhäuser, Basel, 1994, pp. 362–368. MR 1320554
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Additional Information
  • M. T. Karaev
  • Affiliation: Institute for Mathematics and Mechanics, Azerbaijanian National Academy of Sciences, F.Agaev, 9, 370141 Baku, Azerbaijan
  • Address at time of publication: Suleyman Demirel University, Faculty of Arts and Sciences, Department of Mathematics, 32260 Isparta, Turkey
  • Email: garayev@fef.sdu.edu.tr
  • Received by editor(s): March 3, 2003
  • Received by editor(s) in revised form: April 28, 2003
  • Published electronically: February 13, 2004
  • Communicated by: Joseph A. Ball
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 2327-2329
  • MSC (2000): Primary 47A15
  • DOI: https://doi.org/10.1090/S0002-9939-04-07354-X
  • MathSciNet review: 2052409