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Rigidity of optimal bases for signal spaces
dc.contributor.author | Gómez Castro, David | es-ES |
dc.contributor.author | Brezis, Haim | es-ES |
dc.date.accessioned | 2018-10-02T07:35:39Z | |
dc.date.available | 2018-10-02T07:35:39Z | |
dc.date.issued | 27/07/2017 | es_ES |
dc.identifier.issn | 1631-073X | es_ES |
dc.identifier.uri | http://hdl.handle.net/11531/32054 | |
dc.description | Artículos en revistas | es_ES |
dc.description.abstract | We discuss optimal L2-approximations of functions controlled in the H1-norm. We prove that the basis of eigenfunctions of the Laplace operator with Dirichlet boundary condition is the only orthonormal basis (bi ) of L2 that provides an optimal approximation in the sense of projections. This solves an open problem raised by Y. Aflalo, H. Brezis, A. Bruckstein, R. Kimmel, and N. Sochen (Best bases for signal spaces, C. R. Acad. Sci. Paris, Ser. I 354 (12) (2016) 1155 1167). | es-ES |
dc.description.abstract | We discuss optimal L2-approximations of functions controlled in the H1-norm. We prove that the basis of eigenfunctions of the Laplace operator with Dirichlet boundary condition is the only orthonormal basis (bi ) of L2 that provides an optimal approximation in the sense of projections. This solves an open problem raised by Y. Aflalo, H. Brezis, A. Bruckstein, R. Kimmel, and N. Sochen (Best bases for signal spaces, C. R. Acad. Sci. Paris, Ser. I 354 (12) (2016) 1155 1167). | en-GB |
dc.format.mimetype | application/pdf | es_ES |
dc.language.iso | en-GB | es_ES |
dc.rights | es_ES | |
dc.rights.uri | es_ES | |
dc.source | Revista: Comptes Rendus Mathematique, Periodo: 2, Volumen: 355, Número: 7, Página inicial: 780, Página final: 785 | es_ES |
dc.title | Rigidity of optimal bases for signal spaces | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.description.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.rights.holder | La revista es de pago | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | es_ES |
dc.keywords | optimal basis, L2 projections, eigenfunctions, Laplace operator | es-ES |
dc.keywords | optimal basis, L2 projections, eigenfunctions, Laplace operator | en-GB |
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