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Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas. (English) Zbl 0451.42010


MSC:

42A99 Harmonic analysis in one variable
42B99 Harmonic analysis in several variables
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References:

[1] G. Cantor: Über trigonometrische Reihe. Math. Ann. 4 (1871), 139-143. · JFM 03.0105.01
[2] N. Dunford, J. T. Schwartz: Linear Operators, Part II. Interscience, New York, 1963. · Zbl 0128.34803
[3] L. Fejér: Lebesguesche Konstanten und divergente Fourierreihen. J. Reine Angew. Math. 138 (1910), 22-53. · JFM 41.0288.01
[4] H. Lebesgue: Lecons Sur Les Series Trigonométriques. Gauthier-Villars, Paris, 1906. · JFM 37.0281.01
[5] G. Polya, G. Szegö: Problems and Theorems in Analysis. Volume 1, English Edition, Springer Verlag, Berlin, 1972. · Zbl 0311.00002
[6] B. Riemann: Gesammelte Mathematische Werke und Wissenschaftlicher Nachlass. B. G. Teubner, 1876. · Zbl 0053.19405
[7] A. Zygmund: Trigonometrical Series. Volume I, \(2^{nd}\), Cambridge University Press, Cambridge, 1959. · JFM 61.0263.03
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