Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

Sums representing Fourier transforms


Author: R. P. Boas
Journal: Proc. Amer. Math. Soc. 3 (1952), 444-447
MSC: Primary 42.4X
DOI: https://doi.org/10.1090/S0002-9939-1952-0048626-1
MathSciNet review: 0048626
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] S. Bochner, Vorlesungen über Fouriersche Integrale, Leipzig, 1932.
  • [2] R. P. Boas, Jr., Poisson's summation formula in $ {L^2}$, J. London Math. Soc. vol. 21 (1946) pp. 102-105. MR 0019760 (8:457g)
  • [3] S. Borgen, Note on the summability of Poisson's formula, J. London Math. Soc. vol. 19 (1944) pp. 100-105. MR 0012154 (6:266b)
  • [4] -, Note on Poisson's formula, J. London Math. Soc. vol. 19 (1944) pp. 213-219. MR 0014167 (7:248e)
  • [5] R. J. Duffin, Representation of Fourier integrals as sums. I, Bull. Amer. Math. Soc. vol. 51 (1945) pp. 447-455. MR 0012153 (6:266a)
  • [6] -, Representation of Fourier integrals as sums. II, Proceedings of the American Mathematical Society vol. 1 (1950) pp. 250-255. MR 0034465 (11:592a)
  • [7] A. P. Guinand, On Poisson's summation formula, Ann. of Math. (2) vol. 42 (1941) pp. 591-603. MR 0005153 (3:109e)
  • [8] E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, 1937.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 42.4X

Retrieve articles in all journals with MSC: 42.4X


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1952-0048626-1
Article copyright: © Copyright 1952 American Mathematical Society

American Mathematical Society