Geodesic
On the automorphic functions on~$SL(m, \mathbb R)$.
Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part I, Tome 129 (1983), pp. 164-176

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

This paper contains the method of expansion for the functions $F\colon SL(m, \mathbb R)\to\mathbb C^h$ which are automorphic with respect to the congruence subgroup in $SL(m, \mathbb Z)$. A preliminary form of expansion is provided by theorem 1 and a final one-by theorem 4. The ordinary Fourie expansion – $m=2$ – is a particular case of our one. Theorems 2, 3 provides the comparison of this expansion with another one [5]. 
@article{ZNSL_1983_129_a7,
     author = {N. V. Proskurin},
     title = {On the automorphic functions on~$SL(m, \mathbb R)$.},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {164--176},
     publisher = {mathdoc},
     volume = {129},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a7/}
}
TY  - JOUR
AU  - N. V. Proskurin
TI  - On the automorphic functions on~$SL(m, \mathbb R)$.
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1983
SP  - 164
EP  - 176
VL  - 129
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a7/
LA  - ru
ID  - ZNSL_1983_129_a7
ER  - 
%0 Journal Article
%A N. V. Proskurin
%T On the automorphic functions on~$SL(m, \mathbb R)$.
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 164-176
%V 129
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a7/
%G ru
%F ZNSL_1983_129_a7
N. V. Proskurin. On the automorphic functions on~$SL(m, \mathbb R)$.. Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part I, Tome 129 (1983), pp. 164-176. http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a7/