Effectiveness of transposed inverse sets in Faber regions.
Eigenvalues in the large sieve inequality, II
We explore numerically the eigenvalues of the hermitian formwhen . We improve on the existing upper bound, and produce a (conjectural) plot of the asymptotic distribution of its eigenvalues by exploiting fairly extensive computations. The main outcome is that this asymptotic density most probably exists but is not continuous with respect to the Lebesgue measure.
Ein Approximationssatz für holomorphe Funktionen auf nicht-kompakte Riemannschen Flächen.
Ein funktionalanalytischer Beweis des Approximationssatzes von Walsh.
Ein Funktionalanalytischer Beweis des Satzes von Cauchy-Kowalewsky.
Ein Pólyasches Momentenproblem und umhüllende asymptotische Potenzreihen.
Eine Bemerkung zum Satz von Müntz.
Eine lineare Interpolationsaufgabe vom Gontcharoffschen Typ für ganze Funktionen mit Werten in einem komplexen Banachraum.
Ensembles fermés polynomialement convexes
Entire functions with a given sequence of zeros and of regular behavior on the real axis. I.
Equiconvergence of Some Complex Interpolatory Polynomials.
Equiconvergence of some simultaneous Hermite-Padé interpolants
Estimates for capacities, and approximation in Lipschitz norms.
Estimation d'opérateurs intégraux du type de Cauchy dans les échelles d'Ovsjannikov et application
On établit des estimations de l’intégrale singulière de Cauchy et des opérateurs du potentiel dans des échelles d’Ovjannikov de fonctions analytiques. Ces estimations sont utilisées pour obtenir des résultats d’existence locale en temps de solutions analytiques pour certains problèmes à frontière libre dans le plan.
Estimations asymptotiques des intervalles d'instabilité pour l'équation de Hill
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Exact asymptotics of nonlinear difference equations with levels and
We study a class of nonlinear difference equations admitting a -Gevrey formal power series solution which, in general, is not - (or Borel-) summable. Using right inverses of an associated difference operator on Banach spaces of so-called quasi-functions, we prove that this formal solution can be lifted to an analytic solution in a suitable domain of the complex plane and show that this analytic solution is an accelero-sum of the formal power series.
Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method.
Exponential-type Nagumo norms and summability of formal solutions of singular partial differential equations
In this paper, we study a class of first order nonlinear degenerate partial differential equations with singularity at . Using exponential-type Nagumo norm approach, the Gevrey asymptotic analysis is extended to case of holomorphic parameters in a natural way. A sharp condition is then established to deduce the -summability of the formal solutions. Furthermore, analytical solutions in conical domains are found for each type of these nonlinear singular PDEs.
Extrait d'une Lettre adressée à M. Liouville.