Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas

Charles S. Kahane

Czechoslovak Mathematical Journal (1980)

  • Volume: 30, Issue: 1, page 108-117
  • ISSN: 0011-4642

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Kahane, Charles S.. "Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas." Czechoslovak Mathematical Journal 30.1 (1980): 108-117. <http://eudml.org/doc/13181>.

@article{Kahane1980,
author = {Kahane, Charles S.},
journal = {Czechoslovak Mathematical Journal},
keywords = {limits evaluation; Riemann-Lebesgue lemma},
language = {eng},
number = {1},
pages = {108-117},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas},
url = {http://eudml.org/doc/13181},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Kahane, Charles S.
TI - Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas
JO - Czechoslovak Mathematical Journal
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 1
SP - 108
EP - 117
LA - eng
KW - limits evaluation; Riemann-Lebesgue lemma
UR - http://eudml.org/doc/13181
ER -

References

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  1. G. Cantor, 10.1007/BF01443306, Math. Ann. 4 (1871), 139-143. MR1509739DOI10.1007/BF01443306
  2. N. Dunford, J. T. Schwartz, Linear Operators, Part II, Interscience, New York, 1963. (1963) Zbl0128.34803MR0188745
  3. L. Fejér, 10.1515/crll.1910.138.22, J. Reine Angew. Math. 138 (1910), 22-53. (1910) DOI10.1515/crll.1910.138.22
  4. H. Lebesgue, Lecons Sur Les Series Trigonométriques, Gauthier-Villars, Paris, 1906. (1906) 
  5. G. Polya, G. Szegö, Problems and Theorems in Analysis, Volume 1, English Edition, Springer Verlag, Berlin, 1972. (1972) MR0344042
  6. B. Riemann, Gesammelte Mathematische Werke und Wissenschaftlicher Nachlass, B. G. Teubner, 1876. Zbl0053.19405
  7. A. Zygmund, Trigonometrical Series, Volume I, ed., Cambridge University Press, Cambridge, 1959. (1959) 

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