# Structure of Fourier exponents of almost periodic functions and periodicity of almost periodic functions

Mathematica Bohemica (1996)

- Volume: 121, Issue: 3, page 249-262
- ISSN: 0862-7959

## Access Full Article

top## Abstract

top## How to cite

topFischer, Alexandr. "Structure of Fourier exponents of almost periodic functions and periodicity of almost periodic functions." Mathematica Bohemica 121.3 (1996): 249-262. <http://eudml.org/doc/247983>.

@article{Fischer1996,

abstract = {The paper deals with almost periodic functions which are limits of sequences of continuous periodic functions, and determines the structure of their Fourier exponents and their ranges. It is shown that the class $CP()$ of continuous periodic functions is not densely distributed in the space $AP()$.},

author = {Fischer, Alexandr},

journal = {Mathematica Bohemica},

keywords = {almost periodicity (Bohr); Fourier coefficient; Fourier exponent; Bochner transformation; almost periodicity (Bohr); Fourier coefficient; Fourier exponent; Bochner transformation},

language = {eng},

number = {3},

pages = {249-262},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Structure of Fourier exponents of almost periodic functions and periodicity of almost periodic functions},

url = {http://eudml.org/doc/247983},

volume = {121},

year = {1996},

}

TY - JOUR

AU - Fischer, Alexandr

TI - Structure of Fourier exponents of almost periodic functions and periodicity of almost periodic functions

JO - Mathematica Bohemica

PY - 1996

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 121

IS - 3

SP - 249

EP - 262

AB - The paper deals with almost periodic functions which are limits of sequences of continuous periodic functions, and determines the structure of their Fourier exponents and their ranges. It is shown that the class $CP()$ of continuous periodic functions is not densely distributed in the space $AP()$.

LA - eng

KW - almost periodicity (Bohr); Fourier coefficient; Fourier exponent; Bochner transformation; almost periodicity (Bohr); Fourier coefficient; Fourier exponent; Bochner transformation

UR - http://eudml.org/doc/247983

ER -

## References

top- Amerio L., Prouse G., Almost periodic functions and functional equations, New York, Van Nostrand Reihold Company, 1971. (1971) Zbl0215.15701MR0275061
- Bohr H., 10.1007/BF02395468, Acta Math. 45 (1925), 29-127, 46 (1925), 101-214, 47 (1926), 237-281. (1925) MR1555216DOI10.1007/BF02395468
- Bochner S., 10.1007/BF01209156, Math. Ann. 96 (1927), 119-147. (1927) MR1512308DOI10.1007/BF01209156
- Bochner S., 10.1007/BF02547790, Acta Math. 61 (1933), 149-184. (1933) Zbl0007.11201MR1555374DOI10.1007/BF02547790
- Fink A.M., Almost periodic differential equations, Lecture Notes in Mathematics, New York, 1978. (1978)
- Levitan B.M., Almost periodic functions, GIZTL, Moscow, 1953. (In Russian.) (1953) MR0060629
- Levitan B.M., Žikov V. V., Almost periodic functions and differential equations, IMU, Moscow, 1978. (In Russian.) (1978) MR0509035

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.