Geodesic
Approximation of almost periodic functions by periodic ones
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 193-205 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

It is not the purpose of this paper to construct approximations but to establish a class of almost periodic functions which can be approximated, with an arbitrarily prescribed accuracy, by continuous periodic functions uniformly on ${\mathbb R} = (-\infty ; +\infty )$.
It is not the purpose of this paper to construct approximations but to establish a class of almost periodic functions which can be approximated, with an arbitrarily prescribed accuracy, by continuous periodic functions uniformly on ${\mathbb R} = (-\infty ; +\infty )$.
Classification : 41A30, 42A75
Keywords: almost periodic function 
@article{CMJ_1998_48_2_a0,
     author = {Fischer, Alexander},
     title = {Approximation of almost periodic functions by periodic ones},
     journal = {Czechoslovak Mathematical Journal},
     pages = {193--205},
     year = {1998},
     volume = {48},
     number = {2},
     mrnumber = {1624299},
     zbl = {0953.42005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1998_48_2_a0/}
}
TY  - JOUR
AU  - Fischer, Alexander
TI  - Approximation of almost periodic functions by periodic ones
JO  - Czechoslovak Mathematical Journal
PY  - 1998
SP  - 193
EP  - 205
VL  - 48
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMJ_1998_48_2_a0/
LA  - en
ID  - CMJ_1998_48_2_a0
ER  - 
%0 Journal Article
%A Fischer, Alexander
%T Approximation of almost periodic functions by periodic ones
%J Czechoslovak Mathematical Journal
%D 1998
%P 193-205
%V 48
%N 2
%U http://geodesic.mathdoc.fr/item/CMJ_1998_48_2_a0/
%G en
%F CMJ_1998_48_2_a0
Fischer, Alexander. Approximation of almost periodic functions by periodic ones. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 193-205. http://geodesic.mathdoc.fr/item/CMJ_1998_48_2_a0/

[1] Amerio, L. – Prouse, G.: Almost Periodic Functions and Functional Equations. N.Y. Van Nostrand Reihold Company, 1971. | MR

[2] Bohr, H.: Zur Theorie der fastperiodischen Funktionen, I, II, III Teil. 1925.

[3] Coppel, W. A.: Almost periodic properties of ordinary differential equations. Ann. Mat. Pura Appl. 76 (1963). | MR

[4] Levitan, B. M.: Almost Periodic Functions. G.I.T.L. Moscow, 1953. (Russian) | MR

[5] Levitan, B. M. – Zikov, V. V.: Almost Periodic Functions and Differential Equations. I. M. U. Moscow, 1978. () | MR