Fourier expansion along geodesics
Differential Geometry
2017-09-04 v4 Number Theory
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.
Cite
@article{arxiv.math/0607261,
title = {Fourier expansion along geodesics},
author = {Anton Deitmar},
journal= {arXiv preprint arXiv:math/0607261},
year = {2017}
}
Comments
LaTeX, 25 pages