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Title: Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas  (English)
Author: Kahane, Charles S.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642
Volume: 30
Issue: 1
Year: 1980
Pages: 108-117
Summary lang: Russian
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Category: math
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Summary:
MSC: 40A10
MSC: 42A16
MSC: 44A10
idZBL: Zbl 0451.42010
idMR: MR565913
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Date available: 2008-06-09T14:37:53Z
Last updated: 2012-05-30
Stable URL: http://hdl.handle.net/10338.dmlcz/101660
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Reference: [1] G. Cantor: Über trigonometrische Reihe.Math. Ann. 4 (1871), 139-143. MR 1509739
Reference: [2] N. Dunford, J. T. Schwartz: Linear Operators, Part II.Interscience, New York, 1963. Zbl 0128.34803, MR 0188745
Reference: [3] L. Fejér: Lebesguesche Konstanten und divergente Fourierreihen.J. Reine Angew. Math. 138 (1910), 22-53.
Reference: [4] H. Lebesgue: Lecons Sur Les Series Trigonométriques.Gauthier-Villars, Paris, 1906.
Reference: [5] G. Polya, G. Szegö: Problems and Theorems in Analysis.Volume 1, English Edition, Springer Verlag, Berlin, 1972. MR 0344042
Reference: [6] B. Riemann: Gesammelte Mathematische Werke und Wissenschaftlicher Nachlass.B. G. Teubner, 1876. Zbl 0053.19405
Reference: [7] A. Zygmund: Trigonometrical Series.Volume I, $2^{nd}$ ed., Cambridge University Press, Cambridge, 1959.
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