Title:
|
Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas (English) |
Author:
|
Kahane, Charles S. |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
30 |
Issue:
|
1 |
Year:
|
1980 |
Pages:
|
108-117 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
40A10 |
MSC:
|
42A16 |
MSC:
|
44A10 |
idZBL:
|
Zbl 0451.42010 |
idMR:
|
MR565913 |
DOI:
|
10.21136/CMJ.1980.101660 |
. |
Date available:
|
2008-06-09T14:37:53Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101660 |
. |
Reference:
|
[1] G. Cantor: Über trigonometrische Reihe.Math. Ann. 4 (1871), 139-143. MR 1509739, 10.1007/BF01443306 |
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. 10.1515/crll.1910.138.22 |
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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