Por favor, use este identificador para citar o enlazar este ítem:
http://hdl.handle.net/11531/32054| Título : | Rigidity of optimal bases for signal spaces |
| Autor : | Gómez Castro, David Brezis, Haim |
| Fecha de publicación : | 27 |
| Resumen : | 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). 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). |
| Descripción : | Artículos en revistas |
| URI : | http://hdl.handle.net/11531/32054 |
| ISSN : | 1631-073X |
| Aparece en las colecciones: | Artículos |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| Brezis-GC2017.pdf | 242,97 kB | Adobe PDF | Visualizar/Abrir Request a copy |
Los ítems de DSpace están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.