# Fourier expansion along geodesics on Riemann surfaces

Open Mathematics (2014)

- Volume: 12, Issue: 4, page 559-573
- ISSN: 2391-5455

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topAnton Deitmar. "Fourier expansion along geodesics on Riemann surfaces." Open Mathematics 12.4 (2014): 559-573. <http://eudml.org/doc/269044>.

@article{AntonDeitmar2014,

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.},

author = {Anton Deitmar},

journal = {Open Mathematics},

keywords = {Closed geodesics; Fourier expansion; Trilinear products; Intertwining functionals; closed geodesics; trilinear products; intertwining functionals},

language = {eng},

number = {4},

pages = {559-573},

title = {Fourier expansion along geodesics on Riemann surfaces},

url = {http://eudml.org/doc/269044},

volume = {12},

year = {2014},

}

TY - JOUR

AU - Anton Deitmar

TI - Fourier expansion along geodesics on Riemann surfaces

JO - Open Mathematics

PY - 2014

VL - 12

IS - 4

SP - 559

EP - 573

AB - 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.

LA - eng

KW - Closed geodesics; Fourier expansion; Trilinear products; Intertwining functionals; closed geodesics; trilinear products; intertwining functionals

UR - http://eudml.org/doc/269044

ER -

## References

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