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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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On the absolute summability of the allied integral by a functional Nörlund method
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by Shiva Narain Lal PDF
Proc. Amer. Math. Soc. 42 (1974), 113-120 Request permission

Abstract:

In this paper a theorem on the absolute summability of an integral associated with the allied integral of a Fourier integral by a functional Nörlund method has been established. Our theorem generalises an earlier result due to Boĭcun on the absolute Nörlund summability of the allied integral.
References
  • L. G. Boĭcun, Absolute summability of conjugate Fourier integrals by the method of G. F. Voronoĭ, Izv. Vysš. Učebn. Zaved. Matematika 1967 (1967), no. 6 (61), 11–21 (Russian). MR 0221202
  • Leonard McFadden, Absolute Nörlund summability, Duke Math. J. 9 (1942), 168–207. MR 6379
    • E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Clarendon Press, Oxford, 1937.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 42 (1974), 113-120
  • MSC: Primary 42A28; Secondary 40G05
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0324295-2
  • MathSciNet review: 0324295