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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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The $G$-functions as unsymmetrical Fourier kernels. I
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by Roop Narain PDF
Proc. Amer. Math. Soc. 13 (1962), 950-959 Request permission
References
    G. H. Hardy and E. C. Titchmarsh, A class of Fourier kernels, Proc. London Math. Soc. Ser. II 35 (1933), 116-155. Bateman manuscript project, Higher transcedental functions, 1 (1953).
  • Roop Narain, A Fourier kernel, Math. Z. 70 (1958/59), 297–299. MR 104988, DOI 10.1007/BF01558594
  • G. N. Watson, Theory of Bessel functions, (1944). Bateman manuscript project, Tables of integral transforms, 1 (1954). R. Narain, The G-functions as unsymmetrical Fourier kernels. II, III, Proc. E. C. Titchmarsh, A pair of inversion formulae, Proc. London Math. Soc. Ser. II 22 (1923). C. Fox, A generalization of the Fourier-Bessel integral, Proc. London Math. Soc. Ser. II 29 (1929), 401-452. G. H. Hardy, Some formulae in the theory of Bessel functions, Proc. London Math. Soc. Ser. II 23 (1924), lxi-lxiii.
  • A. P. Guinand, A class of Fourier kernels, Quart. J. Math. Oxford Ser. (2) 1 (1950), 191–193. MR 36863, DOI 10.1093/qmath/1.1.191
  • K. P. Bhatnagar, Two theorems on self-reciprocal functions and a new transform, Bull. Calcutta Math. Soc. 45 (1953), 109–112. MR 61203
  • G. N. Watson, Some self-reciprocal functions, Quart. J. Math. Oxford Ser. I 2 (1931), 298-309.
  • W. N. Everitt, On a generalization of Bessel functions and a resulting class of Fourier kernels, Quart. J. Math. Oxford Ser. (2) 10 (1959), 270–279. MR 117507, DOI 10.1093/qmath/10.1.270
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Additional Information
  • © Copyright 1962 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 13 (1962), 950-959
  • MSC: Primary 44.33
  • DOI: https://doi.org/10.1090/S0002-9939-1962-0144157-5
  • MathSciNet review: 0144157