The aim of this paper is to construct a Γ-automorphic form of weight -2k for a given finitely generated Fuchsian group T of the second kind. The construction heavily relies on important properties of the outer function introduced by Widom, which were established by the author. The constructed T-automorphic form possesses the highest possible smoothness for the weight -2k. Bibliography: 8 titles.
Original language | English |
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Pages (from-to) | 232-240 |
Number of pages | 9 |
Journal | Journal of Mathematical Sciences |
Volume | 78 |
Issue number | 2 |
DOIs | |
State | Published - 1996 |
Externally published | Yes |
ID: 86661618