Quantcast

Fourier expansion along geodesics

Research paper by Anton Deitmar

Indexed on: 22 Jan '13Published on: 22 Jan '13Published in: Mathematics - Differential Geometry



Abstract

For an eigenfunction of the Laplacian on a hyperbolic Riemann surface, the coefficients of the Fourier expansion are described as intertwining functionals. All intertwiners are classified. A refined growth estimate for the coefficients is given and a summation formula is proved.