Showing papers by "Juliette Leblond published in 2000"
TL;DR: In this article, the authors constructively solve a pair of band-limited generalizations of the Adamjan-Arov-Krein problem, where a function given on a proper subset of the unit circle is extended to the whole circle to make it as close as possible to meromorphic with the prescribed number of poles, in the sup norm, while meeting some gauge constraint.
Abstract: We constructively solve a pair of band-limited generalizations of the Adamjan—Arov—Krein problem. The first one consists in extending a function given on a proper subset of the unit circle to the whole circle so as to make it as close as possible to meromorphic with the prescribed number of poles, in the sup norm, while meeting some gauge constraint. The second consists in directly approximating the given function on the proper subset by the restriction of a meromorphic function, again meeting some gauge constraint.
23 citations
12 Dec 2000
TL;DR: In this article, the authors considered the inverse problem of identifying a Robin coefficient on some part of the boundary of a smooth 2D domain from overdetermined data available on the other part of boundary, for Laplace equation in the domain.
Abstract: We consider the inverse problem of identifying a Robin coefficient on some part of the boundary of a smooth 2D domain from overdetermined data available on the other part of the boundary, for Laplace equation in the domain. Using tools from complex analysis and analytic functions theory, we provide a constructive and convergent identification scheme, together with a stability result for this inverse problem.