Cardinal Interpolation with polysplines on annulli
Cardinal polysplines of order p on annuli are functions in C2p-2 (ℝn\ {0}) which are piccewise polyharmonic of order p such that Δp-1 S may have discontinuities on spheres in ℝn, centered at the origin and having radii of the form e j, j ∈ ℤ. The main result is an interpolation theorem for cardinal...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc68e9b750603269e81198 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc68e9b750603269e81198 |
| Access Level: | acceso abierto |
| Palabra clave: | Biharmonic functions Cardinal spline interpolation Cardinal splines L-splines Polyharmonic functions in annulus Polysplines Schoenberg interpolation theorems Spherical harmonics |
| Sumario: | Cardinal polysplines of order p on annuli are functions in C2p-2 (ℝn\ {0}) which are piccewise polyharmonic of order p such that Δp-1 S may have discontinuities on spheres in ℝn, centered at the origin and having radii of the form e j, j ∈ ℤ. The main result is an interpolation theorem for cardinal polysplines where the data are given by sufficiently smooth functions on the spheres of radius ej and center 0 obeying a certain growth condition in |j|. This result can be considered as an analogue of the famous interpolation theorem of Schoenberg for cardinal splines. © 2005 Elsevier Inc. All rights reserved. |
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