Geodesic
The Banach spaces of the multiplicative automorphic forms
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 5 (2005) no. 4, pp. 70-89 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The multiplicative measurable automorphic forms concerning group, which is isomorphic to Fuchsian group of the first kind and uniformizes a compact Riemann surface, are considered. A norm, a bilinear pairing, the multiplicate operators and functionals in the spaces of the multiplicative measurable and holomorphic automorphic forms of any character are introduced. The continuous embedding the spaces of the multiplicate automorphic forms in space of the single-valued forms of higher order is constructed. 
@article{VNGU_2005_5_4_a5,
     author = {O. A. Sergeeva},
     title = {The {Banach} spaces of the multiplicative automorphic forms},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {70--89},
     year = {2005},
     volume = {5},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2005_5_4_a5/}
}
TY  - JOUR
AU  - O. A. Sergeeva
TI  - The Banach spaces of the multiplicative automorphic forms
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2005
SP  - 70
EP  - 89
VL  - 5
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VNGU_2005_5_4_a5/
LA  - ru
ID  - VNGU_2005_5_4_a5
ER  - 
%0 Journal Article
%A O. A. Sergeeva
%T The Banach spaces of the multiplicative automorphic forms
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2005
%P 70-89
%V 5
%N 4
%U http://geodesic.mathdoc.fr/item/VNGU_2005_5_4_a5/
%G ru
%F VNGU_2005_5_4_a5
O. A. Sergeeva. The Banach spaces of the multiplicative automorphic forms. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 5 (2005) no. 4, pp. 70-89. http://geodesic.mathdoc.fr/item/VNGU_2005_5_4_a5/

[1] V. V. Chueshev, Multiplikativnye funktsii i differentsialy Prima na peremennoi kompaktnoi rimanovoi poverkhnosti, v. 2, KemGU, Kemerovo, 2003

[2] I. Kra, Avtomorfnye formy i kleinovy gruppy, Mir, M., 1975

[3] H. M. Farkas, I. Kra, Riemann Surfaces, Graduate Texts in Mathematics, 71, Springer-Verlag, 1992 | DOI | MR | Zbl

[4] S. L. Sobolev, Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, SO AN SSSR, Novosibirsk, 1962

[5] N. S. Dairbekov, Vvedenie v prostranstva Soboleva, NGU, Novosibirsk, 1999

[6] C. J. Earle, “A reproducing formula for integrable automorphic forms”, Amer. J. Math., 88 (1966), 867–870 | DOI | MR | Zbl