Geodesic
Point differentiations of algebras of generalized analytical functions
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1990), pp. 19-27.

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

For any natural $k$ (which can also be $\infty$) a quasimaximal semi-group $\Gamma_0$ has been constructed on the half axis, such that the space of point differentiations in non-idempotent characters of $\Gamma_0$ of the algebra $A(\Gamma_0)$ of generalized analytical functions be $k$-dimensional. 
@article{UZERU_1990_2_a2,
     author = {L. M. Hakobian},
     title = {Point differentiations of algebras of generalized analytical functions},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {19--27},
     publisher = {mathdoc},
     number = {2},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_1990_2_a2/}
}
TY  - JOUR
AU  - L. M. Hakobian
TI  - Point differentiations of algebras of generalized analytical functions
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 1990
SP  - 19
EP  - 27
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_1990_2_a2/
LA  - ru
ID  - UZERU_1990_2_a2
ER  - 
%0 Journal Article
%A L. M. Hakobian
%T Point differentiations of algebras of generalized analytical functions
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 1990
%P 19-27
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_1990_2_a2/
%G ru
%F UZERU_1990_2_a2
L. M. Hakobian. Point differentiations of algebras of generalized analytical functions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1990), pp. 19-27. http://geodesic.mathdoc.fr/item/UZERU_1990_2_a2/

[1] R. Arens, I. M. Singer, “Generalized analytic functions”, Trans. Amer. Math. Soc., 81 (1956), 379–393 | DOI | MR | Zbl

[2] R. Arens, “A Banach algebra generalization of conformal mappings of the disc”, Trans. Amer. Math. Soc., 81 (1956), 501–513 | DOI | MR | Zbl

[3] L. M Akopyan, “Nekotorye svoistva tochechnykh differentsirovanii i avtomorfizmov na algebrakh obobschennykh analiticheskikh funktsii”, Izv. AN Arm. SSR, Matematika, XXII:2 (1987), 152–165 | Zbl

[4] T. Gamelin, Ravnomernye algebry, Mir, M., 1973 | MR | Zbl

[5] S. Morris, Dvoistvennost Pontryagina i stroenie lokalno kompaktnykh abelevykh grupp, Mir, M., 1980 | MR | Zbl