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Fourier-Stieltjes series of Walsh functions
Author:
N. J. Fine
Journal:
Trans. Amer. Math. Soc. 86 (1957), 246-255
MSC:
Primary 42.1X
MathSciNet review:
0091371
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References |
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Additional Information
- [1]
S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
- [2]
N.
J. Fine, On the Walsh functions, Trans. Amer. Math. Soc. 65 (1949), 372–414. MR 0032833
(11,352b), http://dx.doi.org/10.1090/S0002-9947-1949-0032833-2
- [3]
N.
J. Fine, Cesàro summability of Walsh-Fourier series,
Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 588–591. MR 0070757
(17,31f)
- [4]
Paul
R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New
York, N. Y., 1950. MR 0033869
(11,504d)
- [5]
Shizuo
Kakutani, Concrete representation of abstract (𝑀)-spaces.
(A characterization of the space of continuous functions.), Ann. of
Math. (2) 42 (1941), 994–1024. MR 0005778
(3,205g)
- [6]
George
W. Morgenthaler, On Walsh-Fourier series, Trans. Amer. Math. Soc. 84 (1957), 472–507. MR 0091370
(19,956d), http://dx.doi.org/10.1090/S0002-9947-1957-0091370-4
- [7]
Shigeki
Yano, On Walsh-Fourier series, Tôhoku Math. J. (2)
3 (1951), 223–242. MR 0045236
(13,550a)
- [8]
A. Zygmund, Trigonometrical series, Warsaw, 1935.
- [1]
- S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
- [2]
- N. J. Fine, On the Walsh functions, Trans. Amer. Math. Soc. vol. 65 (1949) pp. 372-414. MR 0032833 (11:352b)
- [3]
- -, Cesàro summability of Walsh-Fourier series, Proc. Nat. Acad. Sci. U.S.A. vol. 41 No. 8 (1955) pp. 588-591. MR 0070757 (17:31f)
- [4]
- P. R. Halmos, Measure theory, New York, 1950. MR 0033869 (11:504d)
- [5]
- S. Kakutani, Concrete representation of abstract
-spaces, Ann. of Math. vol. 42 no. 4 (1941) pp. 994-1024. MR 0005778 (3:205g)
- [6]
- G. W. Morgenthaler, On Walsh-Fourier series, Trans. Amer. Math. Soc. vol. 84 (1957) pp. 472-507. MR 0091370 (19:956d)
- [7]
- S. Yano, On Walsh-Fourier series, Tôhoku Math. J. Ser. 2 vol. 3 (1951) pp. 223-242. MR 0045236 (13:550a)
- [8]
- A. Zygmund, Trigonometrical series, Warsaw, 1935.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1957-0091371-6
PII:
S 0002-9947(1957)0091371-6
Article copyright:
© Copyright 1957 American Mathematical Society
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