Normes de Sobolev des fonctionnelles automorphes et coefficients de Fourier des formes cuspidales

Joseph Bernstein; André Reznikov

doi:10.1016/S0764-4442(98)80001-3

Normes de Sobolev des fonctionnelles automorphes et coefficients de Fourier des formes cuspidales

Translated title of the contribution: Sobolev norms of automorphic functionals and Fourier coefficients of cusp forms

Joseph Bernstein, André Reznikov

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We propose a new approach to the study of eigenfunctions of the Laplace-Beltrami operator on a Riemann surface of curvature - 1. It is based on Frobenius reciprocity from the theory of automorphic functions. We determine Sobolev class of arising automorphic functionals and discuss some applications.

Translated title of the contribution	Sobolev norms of automorphic functionals and Fourier coefficients of cusp forms
Original language	French
Pages (from-to)	111-116
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	327
Issue number	2
DOIs	https://doi.org/10.1016/S0764-4442(98)80001-3
State	Published - Jul 1998
Externally published	Yes

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Normes de Sobolev des fonctionnelles automorphes et coefficients de Fourier des formes cuspidales

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