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arxiv: math/0607261 · v4 · pith:AOXVEII5new · submitted 2006-07-11 · 🧮 math.DG · math.NT

Fourier expansion along geodesics

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keywords coefficientsexpansionfourieralongclassifieddescribedeigenfunctionestimate
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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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