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The exchange formula for distributions and spans of translates


Author: R. E. Edwards
Journal: Proc. Amer. Math. Soc. 4 (1953), 888-894
MSC: Primary 42.4X
DOI: https://doi.org/10.1090/S0002-9939-1953-0064907-0
MathSciNet review: 0064907
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  • [1] L. Schwartz, Théorie des distributions, vols. 1 and 2, Paris, Hermann, 1950 and 1951.
  • [2] A. Beurling, Comptes Rendus 8th Congress Scand. Mathematiciens, 1938.
  • [3] S. Mandelbrojt and S. Agmon, Une généralisation du théorème taubérien de Wiener, Acta Sci. Math. Szeged vol. 12 (1950) pp. 167-176. MR 0034895 (11:660d)
  • [4] H. Helson, Spectral synthesis of bounded functions, Arkiv. för Mat. vol. 1 (1951) pp. 497-502. MR 0049913 (14:246e)
  • [5] H. Reiter, Investigations in harmonic analysis, Trans. Amer. Math. Soc. vol. 73 (1952) pp. 401-427. MR 0051341 (14:465c)
  • [6] L. Schwartz, Analyse et synthèse harmoniques dans les espaces de distributions, Canadian Journal of Mathematics vol. 3 (1951) pp. 503-512. MR 0044754 (13:473c)
  • [7] H. Whitney, On ideals of differentiable functions, Amer. J. Math. vol. 70 (1948) pp. 635-658. MR 0026238 (10:126d)
  • [8] I. E. Segal, The group algebra of a locally compact group, Trans. Amer. Math. Soc. vol. 61 (1947) pp. 69-105. MR 0019617 (8:438c)
  • [9] -, The span of translates of a function in a Lebesgue space, Proc. Nat. Acad. Sci. U.S.A. vol. 30 (1944) pp. 165-169. MR 0010642 (6:49c)
  • [10] R. P. Agnew, Spans in Lebesgue and uniform spaces of translations of peak functions, Amer. J. Math. vol. 67 (1945) pp. 431-436. MR 0012699 (7:61d)
  • [11] -, Spans in Lebesgue and uniform spaces of translations of step functions, Bull. Amer. Math. Soc. vol. 51 (1945) pp. 229-233. MR 0012159 (6:267a)

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DOI: https://doi.org/10.1090/S0002-9939-1953-0064907-0
Article copyright: © Copyright 1953 American Mathematical Society

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