Transfer operators for $\Gamma_{0}(n)$ and the Hecke operators for the period functions of $\PSL(2,\mathbb{Z})$

DOI10.1017/S0305004105008480zbMath1129.11022arXivmath/0303251OpenAlexW2950891784MaRDI QIDQ5315879

Hossein Movasati, Joachim Hilgert, Dieter H. Mayer

Publication date: 12 September 2005

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303251

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Hecke-Petersson operators, differential operators (one variable) (11F25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (9)

Hecke operators on period functions for \(\Gamma _0(n)\) ⋮ Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds ⋮ The algebra of harmonic functions for a matrix-valued transfer operator ⋮ Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant ⋮ On differential modular forms and some analytic relations between Eisenstein series ⋮ Periods of Jacobi forms and the Hecke operator ⋮ A Lewis Correspondence for submodular groups ⋮ A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions ⋮ A realization of the Hecke algebra on the space of period functions for Γ0 (n)

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