Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume
DOI10.1090/memo/1423arXiv1909.11432OpenAlexW2976468224MaRDI QIDQ6108366
Roelof Wichert Bruggeman, Anke D. Pohl
Publication date: 29 June 2023
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.11432
cohomologyHecke triangle groupsautomorphic formsperiod functionstransfer operatorfunnel formsinfinite covolumemixed cohomology
Research exposition (monographs, survey articles) pertaining to number theory (11-02) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms, one variable (11F12) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds
- The transfer operator for the Hecke triangle groups
- On the thermodynamic formalism for the Gauss map
- Eine Verallgemeinerung der Abelschen Integrale
- On integrals attached to automorphic forms
- The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
- Symbolic dynamics for the geodesic flow on Hecke surfaces
- The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
- Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group
- Dynamics of the continued fraction map and the spectral theory of \(\text{SL}(2,\mathbb{Z})\)
- Spaces of holomorphic functions equivalent to the even Maass cusp forms
- The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein
- A dynamical approach to Maass cusp forms
- A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area
- Dynamics of geodesics, and Maass cusp forms
- Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy
- Eigenfunctions of transfer operators and cohomology
- Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces
- On Poincaré's theorem for fundamental polygons
- Cohomology of arithmetic groups with infinite dimensional coefficient spaces
- Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow
- Symbolic dynamics, automorphic functions, and Selberg zeta functions with unitary representations
- Period Functions for Maass Wave Forms and Cohomology
- The Modular Surface and Continued Fractions
- The thermodynamic formalism approach to Selberg’s zeta function for 𝑃𝑆𝐿(2,𝐙)
- A realization of the Hecke algebra on the space of period functions for Γ0 (n)
- Some new results on the Eichler cohomology of automorphic forms
- Automorphic forms, hyperfunction cohomology, and period functions.
- Resolutions of distribution globalizations of HarishChandra modules and cohomology
- Holomorphic Automorphic Forms and Cohomology
- $\Gamma$-Cohomology and the Selberg Zeta Function
- Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant
- Function Theory Related to the Group PSL2(ℝ)
- Eichler cohomology theorem for automorphic forms of small weights
- A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions
- Period Functions for Maass Cusp Forms for Γ0(p): A Transfer Operator Approach
- A Lewis Correspondence for submodular groups
- Spectral theory of infinite-area hyperbolic surfaces
- Period functions for Maass wave forms. I.
