On completeness of orthogonal systems and Dirac deltas
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1
Universidad de Zaragoza
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2
Universidad de La Rioja
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ISSN: 0377-0427
Année de publication: 1995
Volumen: 58
Número: 2
Pages: 225-231
Type: Article
D'autres publications dans: Journal of Computational and Applied Mathematics
Résumé
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.