Geodesic
Representation of automorphic forms as lacunary series and Blaschke products
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 67-71.

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In this paper we consider the Fuchs groups of the convergent type. We construct automorphic forms of various weights in terms of lacunar series with respect to a set of group transformations that does not have the structure of a subgroup. We also construct an automorphic form of zero weight that represents the Blaschke product.
Keywords: Fuchs groups of the convergent type, automorphic forms. 
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F. N. Garif'yanov. Representation of automorphic forms as lacunary series and Blaschke products. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 67-71. http://geodesic.mathdoc.fr/item/IVM_2009_11_a7/

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