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dc.contributor.authorHurtado, Ana
dc.contributor.authorMarkvorsen, Steen
dc.contributor.authorPalmer Andreu, Vicente
dc.date.accessioned2016-11-11T14:56:44Z
dc.date.available2016-11-11T14:56:44Z
dc.date.issued2016
dc.identifier.citationHurtado, A., Markvorsen, S. & Palmer, V. Math. Ann. (2016) 365: 1603. doi:10.1007/s00208-015-1316-7ca_CA
dc.identifier.issn0025-5831
dc.identifier.issn1432-1807
dc.identifier.urihttp://hdl.handle.net/10234/164408
dc.description.abstractWe compute the first Dirichlet eigenvalue of a geodesic ball in a rotationally symmetric model space in terms of the moment spectrum for the Brownian motion exit times from the ball. As an application of the model space theory we prove lower and upper bounds for the first Dirichlet eigenvalues of extrinsic metric balls in submanifolds of ambient Riemannian spaces which have model space controlled curvatures. Moreover, from this general setting we thereby obtain new generalizations of the classical and celebrated results due to McKean and Cheung–Leung concerning the fundamental tones of Cartan–Hadamard manifolds and the fundamental tones of submanifolds with bounded mean curvature in hyperbolic spaces, respectively.ca_CA
dc.description.sponsorShipSupported by the Spanish Mineco-FEDER grant MTM2010-21206-C02-01 and Junta de Andalucia grants FQM-325 and P09-FQM-5088. Supported by the Spanish Mineco-FEDER grant MTM2010-21206-C02-02 and by the Pla de Promocio de la Investigació de la Universitat Jaume Ica_CA
dc.format.extent25 p.ca_CA
dc.language.isoengca_CA
dc.publisherSpringer Verlagca_CA
dc.relation.isPartOfMath. Ann. (2016) 365:1603–1632ca_CA
dc.rights© Springer-Verlag Berlin Heidelberg 2015. "The final publication is available at Springer via http://dx.doi.org/10.1007/s00208-015-1316-7"ca_CA
dc.titleEstimates of the first Dirichlet eigenvalue from exit time moment spectraca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1007/s00208-015-1316-7
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://link.springer.com/article/10.1007/s00208-015-1316-7ca_CA


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