Spectral Multiplicity on Products of Hyperbolic Spaces

DOI10.2307/2047852zbMath0747.11025OpenAlexW4250145877MaRDI QIDQ3971141

Jonathan Huntley

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2047852

zbMATH Keywords

multiplicityeigenvaluehyperbolic spacesSelberg trace formulaFourier coefficientsLaplaciancusp formsdiscrete group of isometriesRayleigh-Ritz methode

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (3)

On the number of Fourier coefficients that determine a Hilbert modular form ⋮ Density results for automorphic forms on Hilbert modular groups II ⋮ Quantum unique ergodicity of Eisenstein series on the Hilbert modular group over a totally real field

Cites Work

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• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Arithmetic groups
• The trace formula in invariant form
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• On automorphic forms on \(mathrm{GL}_2\) and Hecke operators
• On discontinuous groups operating on the product of the upper half planes
• Automorphic forms on GL (2)
• Analytic Proof of the Strong Multiplicity One Theorem
• An Estimate Near the Boundary for the Spectral Function of the Laplace Operator
• Shorter Notes: A Remark on the Multiplicity of the Discrete Spectrum of Congruence Groups
• On Euler Products and the Classification of Automorphic Forms II
• Automorphic Forms on Adele Groups. (AM-83)

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