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http://hdl.handle.net/2445/34321
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DC Field | Value | Language |
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dc.contributor.author | Ortega Cerdà, Joaquim | - |
dc.contributor.author | Pridhnani, Bharti | - |
dc.date.accessioned | 2013-03-20T13:16:42Z | - |
dc.date.available | 2013-03-20T13:16:42Z | - |
dc.date.issued | 2012-10 | - |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.uri | http://hdl.handle.net/2445/34321 | - |
dc.description.abstract | Given a compact Riemannian manifold $M$, we consider the subspace of $L^2(M)$ generated by the eigenfunctions of the Laplacian of eigenvalue less than $L\geq1$. This space behaves like a space of polynomials and we have an analogy with the Paley-Wiener spaces. We study the interpolating and Marcinkiewicz-Zygmund (M-Z) families and provide necessary conditions for sampling and interpolation in terms of the Beurling-Landau densities. As an application, we prove the equidistribution of the Fekete arrays on some compact manifolds. | - |
dc.format.extent | 39 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier | - |
dc.relation.isformatof | Versió postprint del document publicat a: http://dx.doi.org/10.1016/j.jfa.2012.07.004 | - |
dc.relation.ispartof | Journal of Functional Analysis, 2012, vol. 263, num. 7, p. 2102-2140 | - |
dc.relation.uri | http://dx.doi.org/10.1016/j.jfa.2012.07.004 | - |
dc.rights | (c) Elsevier, 2012 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria espectral (Matemàtica) | - |
dc.subject.classification | Anàlisi global (Matemàtica) | - |
dc.subject.other | Spectral theory (Mathematics) | - |
dc.subject.other | Global analysis (Mathematics) | - |
dc.title | Beurling-Landau's density on compact manifolds | eng |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 615518 | - |
dc.date.updated | 2013-03-20T13:16:42Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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615518.pdf | 497.16 kB | Adobe PDF | View/Open |
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