On completeness of orthogonal systems and Dirac deltas
Given a positive measure μ supported on a set Ω ⊆ C, an orthonormal system {φ{symbol}n}n ≥ 0 and a point a ∈ Ω, we study the relationship among μ({a}), the kernels Kn(a, a) = ∑k = 0nφ{symbol}k(a)φ{symbol}k(a) and the denseness of span {φ{symbol}n}n ≥ 0 in L2(μ) and in L2(v), where v = μ + Mδa. © 199...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1995 |
| 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/5bbc69bcb750603269e8208a |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69bcb750603269e8208a |
| Access Level: | acceso abierto |
| Palabra clave: | Dirac deltas Moment problem Orthogonal systems |
| Sumario: | Given a positive measure μ supported on a set Ω ⊆ C, an orthonormal system {φ{symbol}n}n ≥ 0 and a point a ∈ Ω, we study the relationship among μ({a}), the kernels Kn(a, a) = ∑k = 0nφ{symbol}k(a)φ{symbol}k(a) and the denseness of span {φ{symbol}n}n ≥ 0 in L2(μ) and in L2(v), where v = μ + Mδa. © 1995. |
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