Geodesic
One a type of automorphic forms
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 20, Tome 201 (1992), pp. 177-189

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The aim of the paper is to construct а $\Gamma$-automorphic form of weight $-2k$ for a given finitely generated Fuchsian group $\Gamma$ of the second kind. The construction heavily relies on important properties of the outer function introduced by Widom that have been established by the author. The $\Gamma$-automorphic form construced possesses the highest possible smoothness for the weight $-2k$. 
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     author = {N. A. Shirokov},
     title = {One a type of automorphic forms},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {177--189},
     publisher = {mathdoc},
     volume = {201},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_201_a7/}
}
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N. A. Shirokov. One a type of automorphic forms. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 20, Tome 201 (1992), pp. 177-189. http://geodesic.mathdoc.fr/item/ZNSL_1992_201_a7/