Geodesic
On completeness of hemispherical harmonics system
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 4, pp. 391-395

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

Completeness of the hemispherical harmonics system is proved, and the exact formula for the square of their norm is found (simultaneously, the recursion formula for the Jacobi adjoined function is derived). 
@article{SJVM_1998_1_4_a8,
     author = {V. V. Smelov},
     title = {On completeness of hemispherical harmonics system},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {391--395},
     publisher = {mathdoc},
     volume = {1},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_1998_1_4_a8/}
}
TY  - JOUR
AU  - V. V. Smelov
TI  - On completeness of hemispherical harmonics system
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 1998
SP  - 391
EP  - 395
VL  - 1
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_1998_1_4_a8/
LA  - ru
ID  - SJVM_1998_1_4_a8
ER  - 
%0 Journal Article
%A V. V. Smelov
%T On completeness of hemispherical harmonics system
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 1998
%P 391-395
%V 1
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_1998_1_4_a8/
%G ru
%F SJVM_1998_1_4_a8
V. V. Smelov. On completeness of hemispherical harmonics system. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 4, pp. 391-395. http://geodesic.mathdoc.fr/item/SJVM_1998_1_4_a8/