Approximation of almost periodic functions by periodic ones

Alexander Fischer

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 2, page 193-205
  • ISSN: 0011-4642

Abstract

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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 ℝ = ( - ∞ ; + ∞ ) .

How to cite

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Fischer, Alexander. "Approximation of almost periodic functions by periodic ones." Czechoslovak Mathematical Journal 48.2 (1998): 193-205. <http://eudml.org/doc/30413>.

@article{Fischer1998,
abstract = {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 $\{\mathbb \{R\}\} = (-\infty ; +\infty )$.},
author = {Fischer, Alexander},
journal = {Czechoslovak Mathematical Journal},
keywords = {almost periodic function; almost periodic functions; continuous periodic functions; approximation},
language = {eng},
number = {2},
pages = {193-205},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Approximation of almost periodic functions by periodic ones},
url = {http://eudml.org/doc/30413},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Fischer, Alexander
TI - Approximation of almost periodic functions by periodic ones
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 2
SP - 193
EP - 205
AB - 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 ${\mathbb {R}} = (-\infty ; +\infty )$.
LA - eng
KW - almost periodic function; almost periodic functions; continuous periodic functions; approximation
UR - http://eudml.org/doc/30413
ER -

References

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  1. Almost Periodic Functions and Functional Equations, N.Y. Van Nostrand Reihold Company, 1971. (1971) MR0275061
  2. Zur Theorie der fastperiodischen Funktionen, I, II, III Teil, 1925. (1925) 
  3. Almost periodic properties of ordinary differential equations, Ann. Mat. Pura Appl. 76 (1963). (1963) MR0221024
  4. Almost Periodic Functions, G.I.T.L. Moscow, 1953. (Russian) (1953) MR0060629
  5. Almost Periodic Functions and Differential Equations, I. M. U. Moscow, 1978. () (1978) MR0509035

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