On functions whose translates are independent

Ralph E. Edwards

Annales de l'institut Fourier (1951)

  • Volume: 3, page 31-72
  • ISSN: 0373-0956

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Edwards, Ralph E.. "On functions whose translates are independent." Annales de l'institut Fourier 3 (1951): 31-72. <http://eudml.org/doc/73705>.

@article{Edwards1951,
author = {Edwards, Ralph E.},
journal = {Annales de l'institut Fourier},
keywords = {functional analysis},
language = {eng},
pages = {31-72},
publisher = {Association des Annales de l'Institut Fourier},
title = {On functions whose translates are independent},
url = {http://eudml.org/doc/73705},
volume = {3},
year = {1951},
}

TY - JOUR
AU - Edwards, Ralph E.
TI - On functions whose translates are independent
JO - Annales de l'institut Fourier
PY - 1951
PB - Association des Annales de l'Institut Fourier
VL - 3
SP - 31
EP - 72
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/73705
ER -

References

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  1. [1] N. WIENER, The Fourier integral and certain of its applications, Cambridge, 1933. Zbl0006.05401JFM59.0416.01
  2. [2] R. GODEMENT, Théorèmes tauberiens et théorie spéctacle, Annales École Normale Supérieure, 64 (1947). Zbl0033.37601
  3. [3] I. E. SEGAL, The group algebra of a locally compact group, Trans. Amer. Math. Soc., vol. 61 (1947). Zbl0032.02901MR8,438c
  4. [4] H. POLLARD, The closure of translations in Lp, Proc. Amer. Math. Soc., vol. (1951). Zbl0043.32903MR13,31c
  5. [5] A. BEURLING, The théorème sur le fonctions bornées et uniformément continues sur l'axe réel, Acta Mathematica; vol 77 (1945). Zbl0061.13311MR7,61f
  6. [6] L. SCHWARTZ, Théorie générale des fonctions moyenne-périodiques, Annals of Maths., vol. 48 (1947). Zbl0030.15004MR9,428c
  7. [7] R. E. EDWARDS, A property of the class of functions regular in the unit circle and a theorem on translations, Journal London Math. Soc. vol. 25 (1950). Zbl0036.07902MR11,431a
  8. [8] R. E. EDWARDS, The translations of an function holomorphic in a half-plane and related problems in the real domain, Proc. London Math. Soc., 3 (1) 1951. Zbl0042.35801
  9. [9] R. E. EDWARDS, The translations and affine transforms of special functions, to appear in the Journal London Math. Soc. Zbl0046.11803
  10. [10] R. E. EDWARDS, Derivative and translational bases for periodic functions, to appear in the Proc. Amer. Math. Soc. Zbl0043.11401
  11. [11] L. SCHWARTZ, Théorie des distributions, Tomes I and II, Paris, 1950 and 1951. Zbl0042.11405
  12. [12] I. GELFAND, Normierte Ringe, Recueil Math. 9 (51), 1941. Zbl0024.32002MR3,51fJFM67.0406.02
  13. [13] I. GELFAND, Über absolut konvergente trigonometrische Reihen une Integrale, Ibidem. Zbl0024.32302
  14. [14] S. MANDELBROJT, Séries de Fourier et classes quasi-analytiques de fonctions, Borel Collection, Paris, 1935. Zbl0013.11006JFM61.1117.05
  15. [15] R. E. A. PALEY and N. WIENER, Fourier transforms in the complex domain, Amer. Math. Soc. Coll.Pubs. vol. XIX, 1934. Zbl0011.01601JFM60.0345.02
  16. [16] G. SILOV, On regular normed rings, Travaux de l'Inst. Math. Stekloff, 1947. 
  17. [17] R. GODEMENT, Les fonctions de type positif et la théorie des groupes, Trans. Amer. Math. Soc. vol. 63 (1), 1948. Zbl0031.35903MR9,327b
  18. [18] G. W. MACKEY, Functions on locally compact groups, Bull. Amer. Math. Soc. 56 (5), 1950. Zbl0041.36305MR12,588d

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