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. 
@article{IVM_2009_11_a7,
     author = {F. N. Garif'yanov},
     title = {Representation of automorphic forms as lacunary series and {Blaschke} products},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {67--71},
     publisher = {mathdoc},
     number = {11},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_11_a7/}
}
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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/