On the representation of functions by trigonometric series

Thomas William Körner

Annales de la Faculté des sciences de Toulouse : Mathématiques (1996)

  • Volume: S5, page 77-119
  • ISSN: 0240-2963

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Körner, Thomas William. "On the representation of functions by trigonometric series." Annales de la Faculté des sciences de Toulouse : Mathématiques S5 (1996): 77-119. <http://eudml.org/doc/73405>.

@article{Körner1996,
author = {Körner, Thomas William},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Menshov's theorems; adjustment of measurable functions; universal trigonometric series},
language = {eng},
pages = {77-119},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {On the representation of functions by trigonometric series},
url = {http://eudml.org/doc/73405},
volume = {S5},
year = {1996},
}

TY - JOUR
AU - Körner, Thomas William
TI - On the representation of functions by trigonometric series
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1996
PB - Université Paul Sabatier, Institut de Mathématiques
VL - S5
SP - 77
EP - 119
LA - eng
KW - Menshov's theorems; adjustment of measurable functions; universal trigonometric series
UR - http://eudml.org/doc/73405
ER -

References

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  1. [1] Bari ( M.K.) . — A Treatise on Trigonometric Series (Two volumes, English translation.) Pergamon, 1964 . 
  2. [2] Helson ( H.) . — Harmonic Analysis, Adison-Wesley , Reading. Mass., 1983. Zbl0555.43001MR729682
  3. [3] Kahane ( J.-P. ) . — Séries de Fourier absolument convergentes , Springer1970. Zbl0195.07602MR275043
  4. [4] Katznelson ( Y. ) . - An Introduction to Harmonic Analysis , Wiley, 1968. Zbl0169.17902MR248482
  5. [5] Konjagin ( S.V.) . — Limits of indeterminacy of trigonometric series, Mat. Zametki44, pp. 770-784 (in Russian); Translated in Math Notes44. pp. 910-920. Zbl0688.42003MR983549
  6. [6] Körner ( T.W. ) .— Universal trigonometric series with rapidly decreasing coefficients, AMS Contemporary Mathematics , 96, pp. 115-150. Zbl0687.42005MR1002593
  7. [7] Körner ( T.W. ) .— A theorem of Menšov on the adjustment of functions, to appear in the Journal of the LMS. Zbl0940.42006MR1724837
  8. [8] Körner ( T.W. ) . — Everywhere divergent Fourier series , Colloq. Math.XLV ( 1981), pp. 103-118. Zbl0491.42011MR652607
  9. [9] Saks ( S.) . — Theory of the Integral (Extended version of French original, Monographie Matematyzne, Warsaw1937. 

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