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- In the theory of orthogonal functions, Lauricella's theorem provides a condition for checking the closure of a set of orthogonal functions, namely: Theorem. A necessary and sufficient condition that a normal orthogonal set be closed is that the formal series for each function of a known closed normal orthogonal set in terms of converge in the mean to that function. The theorem was proved by Giuseppe Lauricella in 1912. (en)
- Dans la théorie des espaces de Hilbert, le théorème de Lauricella donne une condition nécessaire et suffisante pour qu'un ensemble de fonctions soit fermé : Portion de texte anglais à traduire en français Texte anglais à traduire :A necessary and sufficient condition that a normal orthogonal set be closed is that the formal series for each function of a known closed normal orthogonal set in terms of converge in the mean to that function. Traduire ce texte • Outils • (+) Ce théorème a été prouvé par Giuseppe Lauricella en 1912. (fr)
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- In the theory of orthogonal functions, Lauricella's theorem provides a condition for checking the closure of a set of orthogonal functions, namely: Theorem. A necessary and sufficient condition that a normal orthogonal set be closed is that the formal series for each function of a known closed normal orthogonal set in terms of converge in the mean to that function. The theorem was proved by Giuseppe Lauricella in 1912. (en)
- Dans la théorie des espaces de Hilbert, le théorème de Lauricella donne une condition nécessaire et suffisante pour qu'un ensemble de fonctions soit fermé : Portion de texte anglais à traduire en français Texte anglais à traduire :A necessary and sufficient condition that a normal orthogonal set be closed is that the formal series for each function of a known closed normal orthogonal set in terms of converge in the mean to that function. Traduire ce texte • Outils • (+) Ce théorème a été prouvé par Giuseppe Lauricella en 1912. (fr)
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- Théorème de Lauricella (fr)
- Lauricella's theorem (en)
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