Une preuve rapide du théorème de Beurling et Helson sur les endomorphismes de l'algèbre l¹(Z)
Jean-Pierre Kahane (1984)
Studia Mathematica
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Jean-Pierre Kahane (1984)
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Wacław Sierpiński (1961)
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Edward Szpilrajn (1930)
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L. Saloff-Coste (1986)
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Marie-Claude Sarmant-Durix (1987-1988)
Groupe de travail d'analyse ultramétrique
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Wacław Sierpiński (1927)
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Féron, R. (1968)
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Pascal Auscher, Philippe Tchamitchian (1992)
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We prove Kato's conjecture for second order elliptic differential operators on an open set in dimension 1 with arbitrary boundary conditions. The general case reduces to studying the operator T = - d/dx a(x) d/dx on an interval, when a(x) is a bounded and accretive function. We show for the latter situation that the domain of T is spanned by an unconditional basis of wavelets with cancellation properties that compensate the action of the non-regular function a(x).
Dénes König (1926)
Fundamenta Mathematicae
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