Anke Pohl, ,Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstr. 3–5, 37073 Göttingen
Abstract
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For nonuniform cofinite Fuchsian groups $\Gamma$ that satisfy acertain additional geometric condition, we show that the Maass cuspforms for $\Gamma$ are isomorphic to $1$-eigenfunctions of afinite-term transfer operator. The isomorphism is constructive.
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For nonuniform cofinite Fuchsian groups $\Gamma$ that satisfy acertain additional geometric condition, we show that the Maass cuspforms for $\Gamma$ are isomorphic to $1$-eigenfunctions of afinite-term transfer operator. The isomorphism is constructive.
Key concepts: Mathematics, Cusp (singularity), Isomorphism (crystallography), Constructive, Pure mathematics, Eigenfunction, Transfer operator, Operator (biology)