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Summing closed  -sets for Walsh series
Author:
William R. Wade
Journal:
Proc. Amer. Math. Soc. 29 (1971), 123-125
MSC:
Primary 42.15
MathSciNet review:
0279522
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Abstract |
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Abstract: The union of countably many closed sets of uniqueness for the Walsh series is again a set of uniqueness.
- [1]
A.
A. Šneĭder, On the uniqueness of expansions in Walsh
functions, Mat. Sbornik N.S. 24(66) (1949),
279–300 (Russian). MR 0032834
(11,352c)
- [2]
William
R. Wade, A uniqueness theorem for Haar and
Walsh series, Trans. Amer. Math. Soc. 141 (1969), 187–194.
MR
0243265 (39 #4587), http://dx.doi.org/10.1090/S0002-9947-1969-0243265-9
- [3]
A.
Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge
University Press, New York, 1959. MR 0107776
(21 #6498)
- [1]
- A. A. Šneĭder, On the uniqueness of expansions in Walsh functions, Mat. Sb. 24 (66) (1949), 279-300. (Russian) MR 11, 352. MR 0032834 (11:352c)
- [2]
- W. R. Wade, A uniqueness theorem for Haar and Walsh series, Trans. Amer. Math. Soc. 141 (1969), 187-194. MR 39 #4587. MR 0243265 (39:4587)
- [3]
- A. Zygmund, Trigonometrical series. Vol. 1, Cambridge Univ. Press, New York, 1959. MR 21 #6498. MR 0107776 (21:6498)
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DOI:
http://dx.doi.org/10.1090/S0002-9939-1971-0279522-4
PII:
S 0002-9939(1971)0279522-4
Keywords:
Walsh series,
set of uniqueness,
of the second category on itself
Article copyright:
© Copyright 1971 American Mathematical Society
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