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Compact isospectral sets of plane domains

Any isospectral family of two-dimensional Euclidean domains is shown to be compact in the C(∞) topology. Previously Melrose, using heat invariants, was able to establish the C(∞) compactness of the curvature of the boundary curves. The additional ingredient used in this paper to obtain the compactne...

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Dades bibliogràfiques
Publicat a:Proc Natl Acad Sci U S A
Autors principals: Osgood, B., Phillips, R., Sarnak, P.
Format: Artigo
Idioma:Inglês
Publicat: National Academy of Sciences 1988
Matèries:
Accés en línia:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC281755/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593960/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.85.15.5359
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