# Fourier expansion along geodesics

@article{Deitmar2006FourierEA, title={Fourier expansion along geodesics}, author={A. Deitmar}, journal={arXiv: Differential Geometry}, year={2006} }

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.

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