Abstract
In this paper we consider Fuchsian groups of convergent type. We construct automorphic forms of various weights as lacunary series with respect to a set of transformations of a group that does not have the structure of a subgroup. We also construct an automorphic form of zero weight that is the Blaschke product.
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Original Russian Text © F.N. Garif’yanov, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 11, pp. 67–71.
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Garif’yanov, F.N. Representation of automorphic forms as lacunary series and Blaschke products. Russ Math. 53, 58–62 (2009). https://doi.org/10.3103/S1066369X09110085
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DOI: https://doi.org/10.3103/S1066369X09110085