Fourier expansion along geodesics on Riemann surfaces

• Autorzy: Anton Deitmar
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Closed geodesics; Fourier expansion; Trilinear products; Intertwining functionals

Kategorie tematyczne

• 11F67: Special values of automorphic L -series, periods of modular forms, cohomology, modular symbols
• 22E55: Representations of Lie and linear algebraic groups over global fields and ad\`ele rings
• 11F70: Representation-theoretic methods; automorphic representations over local and global fields
• 37D40: Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 4
• Strony: 559-573

Daty

wydano

2014-04-01

online

2014-01-17

Twórcy

autor

Anton Deitmar

• Mathematisches Institut

Bibliografia

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• [7] Iwaniec H., Spectral Methods of Automorphic Forms, 2nd ed., Grad. Stud. Math., 53, American Mathematical Society, Providence, 2002
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Identyfikatory

DOI

10.2478/s11533-013-0366-x