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A density theorem for Walsh functions


Author: J. J. Price
Journal: Proc. Amer. Math. Soc. 18 (1967), 209-211
MSC: Primary 42.18
DOI: https://doi.org/10.1090/S0002-9939-1967-0209760-7
MathSciNet review: 0209760
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References [Enhancements On Off] (What's this?)

  • [1] N. J. Fine, On the Walsh functions, Trans. Amer. Math. Soc. 65 (1949), 372-414. MR 0032833 (11:352b)
  • [2] S. S. Kaczmarz and H. Steinhaus, Theorie der Orthogonalreihen, reprint, Chelsea, New York, 1951.
  • [3] N. Levinson, Gap and density theorems, Amer. Math. Soc. Colloq. Publ., Vol. 26, Amer. Math. Soc., Providence, R. I., 1940. MR 0003208 (2:180d)
  • [4] J. J. Price and R. E. Zink, On sets of completeness for families of Haar functions, Trans. Amer. Math. Soc. 119 (1965), 262-269. MR 0184023 (32:1499)
  • [5] A. A. Talalyan, The representation of measurable functions by series, Uspehi Mat. Nauk 15 (1960), 77-142 = Russian Math. Surveys 15 (1960), 77-136. MR 0125401 (23:A2704)

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DOI: https://doi.org/10.1090/S0002-9939-1967-0209760-7
Article copyright: © Copyright 1967 American Mathematical Society

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