Isospectral convex domains in Euclidean space

DOI10.4310/MRL.1994.v1.n5.a2zbMath0840.58046OpenAlexW1966517154MaRDI QIDQ1902187

Carolyn S. Gordon, David L. Webb

Publication date: 16 November 1995

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.1994.v1.n5.a2

zbMATH Keywords

Dirichlet boundary conditionsNeumann boundary conditionsisospectral convex domains in \(\mathbb{R}^ n\) \((n\geq 4)\)

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

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Diffusion determines the manifold ⋮ Inverse spectral problem for analytic \((\mathbb Z/2\mathbb Z)^n\)-symmetric domains in \(\mathbb R^n\) ⋮ One can hear the area of a torus by hearing the eigenvalues of the polyharmonic operators ⋮ On the inverse spectral problem for Euclidean triangles ⋮ Asymptotic expansion of the trace of the heat kernel associated to the Dirichlet-to-Neumann operator

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