Geodesic
On some characterization of Arens-Singer generalized analytic functions
Problemy fiziki, matematiki i tehniki, no. 2 (2011), pp. 65-68

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A new characterization of generalized analytic functions in sense of Arens–Singer is given in the case of maximal semigroups. It is shown that this result can be applied to approximation problems.
Keywords: algebra of generalized analytic functions, semigroup of semicharacters, Shilov boundary, approximation. 
@article{PFMT_2011_2_a11,
     author = {A. R. Mirotin and M. A. Romanova},
     title = {On some characterization of {Arens-Singer} generalized analytic functions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {65--68},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2011_2_a11/}
}
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A. R. Mirotin; M. A. Romanova. On some characterization of Arens-Singer generalized analytic functions. Problemy fiziki, matematiki i tehniki, no. 2 (2011), pp. 65-68. http://geodesic.mathdoc.fr/item/PFMT_2011_2_a11/