Fourier coefficients of an almost-periodic function
From Encyclopedia of Mathematics
The coefficients 
of the Fourier series (cf. Fourier series of an almost-periodic function) corresponding to the given almost-periodic function 
:
 |
where
 |
The coefficients 
are completely determined by the theorem on the existence of the mean value
 |
which is non-zero only for the countable set of values 
.
Comments
References
| [a1] | A.S. Besicovitch, "Almost periodic functions" , Cambridge Univ. Press (1932) pp. Chapt. I |
| [a2] | N. Wiener, "The Fourier integral and certain of its applications" , Dover, reprint (1933) pp. Chapt. II |
How to Cite This Entry:
Fourier coefficients of an almost-periodic function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fourier_coefficients_of_an_almost-periodic_function&oldid=16385
Fourier coefficients of an almost-periodic function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fourier_coefficients_of_an_almost-periodic_function&oldid=16385
This article was adapted from an original article by E.A. Bredikhina (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article