Geodesic
On eigenfunctions of $p$-adic and discrete Fourier transforms
Matematičeskoe modelirovanie, Tome 2 (1990) no. 10, pp. 120-131.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper eigenfunctions and eigenvalues of a $p$-adic Fourier Transform are considered. The completeness and orthonormality of some system of these vectors is proved. These results may be interpreted for the Discrete Fourier Transform (DFT), the fact that allow to determine DFT eigenvectors for some dimensions and to offer a new algorithm as an alternative to the so-called “rapid algorithm”. 
@article{MM_1990_2_10_a12,
     author = {A. S. Pospelov},
     title = {On eigenfunctions of $p$-adic and discrete {Fourier} transforms},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {120--131},
     publisher = {mathdoc},
     volume = {2},
     number = {10},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_10_a12/}
}
TY  - JOUR
AU  - A. S. Pospelov
TI  - On eigenfunctions of $p$-adic and discrete Fourier transforms
JO  - Matematičeskoe modelirovanie
PY  - 1990
SP  - 120
EP  - 131
VL  - 2
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_1990_2_10_a12/
LA  - ru
ID  - MM_1990_2_10_a12
ER  - 
%0 Journal Article
%A A. S. Pospelov
%T On eigenfunctions of $p$-adic and discrete Fourier transforms
%J Matematičeskoe modelirovanie
%D 1990
%P 120-131
%V 2
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_1990_2_10_a12/
%G ru
%F MM_1990_2_10_a12
A. S. Pospelov. On eigenfunctions of $p$-adic and discrete Fourier transforms. Matematičeskoe modelirovanie, Tome 2 (1990) no. 10, pp. 120-131. http://geodesic.mathdoc.fr/item/MM_1990_2_10_a12/