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Fourier expansion along geodesics on Riemann surfaces

Research paper by Anton Deitmar

Indexed on: 10 Jan '14Published on: 10 Jan '14Published in: Central European Journal of Mathematics



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.