Sobolev norms of automorphic functionals and Fourier coefficients of cusp forms

DOI10.1016/S0764-4442(98)80001-3zbMath0915.11030MaRDI QIDQ4223846

Joseph Bernstein, Andre Reznikov

Publication date: 28 March 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

compact Riemann surfaceSobolev classLaplacianRankin-Selberg \(L\)-functionsFourier coefficients of cusp formsprincipal series representationcofinite groupsautomorphic functionals

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

Sparse equidistribution problems, period bounds and subconvexity ⋮ Representation of ax+b group and Dirichlet Series ⋮ The spectral decomposition of shifted convolution sums ⋮ Effective equidistribution of shears and applications

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