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Fourier expansion along geodesics

Anton Deitmar
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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.

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Anton Deitmar. 2017-09-01. Fourier expansion along geodesics. https://arxiv.org/abs/math/0607261

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