| Title:
|
Approximation of almost periodic functions by periodic ones (English) |
| Author:
|
Fischer, Alexander |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
193-205 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 ${\mathbb R} = (-\infty ; +\infty )$. (English) |
| Keyword:
|
almost periodic function |
| MSC:
|
41A30 |
| MSC:
|
42A75 |
| idZBL:
|
Zbl 0953.42005 |
| idMR:
|
MR1624299 |
| . |
| Date available:
|
2009-09-24T10:12:41Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127411 |
| . |
| Reference:
|
[1] Amerio, L. – Prouse, G.: Almost Periodic Functions and Functional Equations.N.Y. Van Nostrand Reihold Company, 1971. MR 0275061 |
| Reference:
|
[2] Bohr, H.: Zur Theorie der fastperiodischen Funktionen, I, II, III Teil.1925. |
| Reference:
|
[3] Coppel, W. A.: Almost periodic properties of ordinary differential equations.Ann. Mat. Pura Appl. 76 (1963). MR 0221024 |
| Reference:
|
[4] Levitan, B. M.: Almost Periodic Functions.G.I.T.L. Moscow, 1953. (Russian) MR 0060629 |
| Reference:
|
[5] Levitan, B. M. – Zikov, V. V.: Almost Periodic Functions and Differential Equations.I. M. U. Moscow, 1978. () MR 0509035 |
| . |
