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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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