Isospectral Riemann surfaces

DOI10.5802/aif.1054zbMath0579.53036OpenAlexW2044295022WikidataQ56017379 ScholiaQ56017379MaRDI QIDQ1067228

Peter Buser

Publication date: 1986

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1986__36_2_167_0

zbMATH Keywords

Riemann surfacesspectrum of the Laplacianisospectral

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

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Cites Work

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• Isospectral and non-isometric Riemannian manifolds
• Notes on geometry
• Riemannsche Flächen mit Eigenwerten in \((0,1/4)\)
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Selberg's trace formula and spectrum
• Gel′fand’s problem on unitary representations associated with discrete subgroups of {{𝑃𝑆𝐿}}_2({{𝐑}})
• The eigenvalue spectrum as moduli for compact Riemann surfaces
• Bounded domains which are isospectral but not congruent
• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
• On the theory of nth power residues and a conjecture of Kronecker

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