Schwartz's theorem on mean periodic vector-valued functions

François Parreau; Yitzhak Weit

Bulletin de la Société Mathématique de France (1989)

  • Volume: 117, Issue: 3, page 319-325
  • ISSN: 0037-9484

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Parreau, François, and Weit, Yitzhak. "Schwartz's theorem on mean periodic vector-valued functions." Bulletin de la Société Mathématique de France 117.3 (1989): 319-325. <http://eudml.org/doc/87583>.

@article{Parreau1989,
author = {Parreau, François, Weit, Yitzhak},
journal = {Bulletin de la Société Mathématique de France},
keywords = {mean periodic vector-valued functions; every closed translation-invariant subspace of the space of continuous complex functions on is spanned by the polynomial-exponential functions it contains},
language = {eng},
number = {3},
pages = {319-325},
publisher = {Société mathématique de France},
title = {Schwartz's theorem on mean periodic vector-valued functions},
url = {http://eudml.org/doc/87583},
volume = {117},
year = {1989},
}

TY - JOUR
AU - Parreau, François
AU - Weit, Yitzhak
TI - Schwartz's theorem on mean periodic vector-valued functions
JO - Bulletin de la Société Mathématique de France
PY - 1989
PB - Société mathématique de France
VL - 117
IS - 3
SP - 319
EP - 325
LA - eng
KW - mean periodic vector-valued functions; every closed translation-invariant subspace of the space of continuous complex functions on is spanned by the polynomial-exponential functions it contains
UR - http://eudml.org/doc/87583
ER -

References

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  1. [1]KAHANE (J.-P.). — Sur les fonctions moyennes-périodiques bornées, Ann. Inst. Fourier, t. 7, 1957, p. 292-315. Zbl0083.34401MR21 #1489
  2. [2]KELLHER (J.-J.) and TAYLOR (B.-A.). — Closed ideals in locally convex algebras of analytic functions, J. Reine Angew. Math., t. 255, 1972, p. 190-209. Zbl0237.46052MR46 #6046
  3. [3]MEYER (Y.). — Algebraic Numbers and Harmonic Analysis (V-9). Amsterdam-London, North-Holland Publishing Co, 1972. Zbl0267.43001MR58 #5579
  4. [4]SCHWARTZ (L.). — Théorie générale des fonctions moyenne-périodiques, Ann. of Math., t. 48, 1947, p. 857-928. Zbl0030.15004MR9,428c

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