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The Wiener lemma and certain of its generalizations
Author(s):
Thierry
Coquand;
Gabriel
Stolzenberg
Journal:
Bull. Amer. Math. Soc.
24
(1991),
1-9.
MSC (1985):
Primary 42A28
MathSciNet review:
1067573
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References:
- 1.
- E. Bishop and D. Bridges, Constructive analysis, Springer-Verlag, Berlin and New York, 1985 (Revised ed. of Bishop's Foundations of constructive analysis, McGraw-Hill, 1967). MR 804042
- 2.
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- 3.
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- 4.
- L. Hormander, An introduction to complex analysis in several variables, Van Nostrand, Princeton, N.J., 1966. MR 203075
- 5.
- J.-P. Kahane, Séries de Fourier absolument convergentes, Ergeb. Math. Grenzgeb., Band 50, Springer-Verlag, Berlin and New York, 1970. MR 275043
- 6.
- Y. Katznelson, An introduction to harmonic analysis, Dover, 1976 (2nd corrected edition). MR 422992
- 7.
- P. Lévy, Sur la convergence absolue des séries de Fourier, Proc. Composito Math. 1 (1934), 1-14.
- 8.
- W. Rudin, Functional analysis, McGraw-Hill, New York, 1973. MR 365062
- 9.
- G. E. Šilov, On the decomposition of a commutative normed ring into the direct sum of ideals, Mat. Sbornik 74 (1953), 353-364. (Russian) MR 54177
- 10.
- N. Wiener, Tauberian theorems, Ann. of Math. (2) 33 (1932), 1-100. MR 1503035
- 11.
- N. Wiener, The Fourier integral and certain of its applications, Cambridge Univ., 1933. MR 983891
- 12.
- A. Zygmund, Trigonometric series, Cambridge Univ., 1959 (2nd edition). MR 107776
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Additional Information:
DOI:
10.1090/S0273-0979-1991-15949-5
PII:
S 0273-0979(1991)15949-5
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