Remarques sur les suites d'unicité et l'analyticité partielle
Removable singularities for spaces of analytic functions, .
Removable singularities for weighted Bergman spaces
We develop a theory of removable singularities for the weighted Bergman space , where is a Radon measure on . The set is weakly removable for if , and strongly removable for if . The general theory developed is in many ways similar to the theory of removable singularities for Hardy spaces, and locally Lipschitz spaces of analytic functions, including the existence of counterexamples to many plausible properties, e.g. the union of two compact removable singularities needs not be removable....
Repeated Modifications of Limit k-Periodic continued Fractions.
Resommation des series formelles. Solutions d'équations différentielles linéaires ordinaires du second ordre dans le champ complexe au voisinage de singularités irrégulières.
Restricted permutations and Chebyshev polynomials.
Restricted permutations, continued fractions, and Chebyshev polynomials.
Résurgence paramétrique et exponentielle petitesse de l'écart des séparatrices du pendule rapidement forcé
Henri Poincaré avait déjà remarqué que les variétés stable et instable du pendule perturbé, défini par l’hamiltonienne coïncident pas lorsque que le paramètre n’est pas nul, mais qu’on peut leur associer un même développement formel divergent en puissance de . Cette divergence est ici analysée au moyen de la récente théorie de la résurgence, et du calcul étranger qui permet de trouver un équivalent asymptotique de l’écart des deux variétés pour tendant vers zéro - du moins cela est-il montré...
Roots of formal power series in one variable.
Rozšíření poučky o neurčitých koefficientech
Scalar product of Dirichlet series and the distribution of integer points on toric varieties.
Scattering by two convex bodies
Séries de Dirichlet
Séries de Dirichlet associées à des fractions rationnelles de plusieurs variables
Series de Dirichlet consideradas como espacios de sucesiones.
Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems
MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by means of the Mittag-Leffler functions, on the boundary of its domain of convergence in the complex plane, we prove Cauchy-Hadamard, Abel, Tauber and Littlewood type theorems. Asymptotic formulae are also provided for the Mittag-Leffler functions in the case of " values of indices that are used in the proofs of the convergence theorems for the considered series.
Sets of divergence of Taylor series and of trigonometric series
Several theorems concerning extensions of meromorphic and conformal mappings
Some Banach spaces of Dirichlet series
The Hardy spaces of Dirichlet series, denoted by (p ≥ 1), have been studied by Hedenmalm et al. (1997) when p = 2 and by Bayart (2002) in the general case. In this paper we study some -generalizations of spaces of Dirichlet series, particularly two families of Bergman spaces, denoted and . Each could appear as a “natural” way to generalize the classical case of the unit disk. We recover classical properties of spaces of analytic functions: boundedness of point evaluation, embeddings between...
Some Examples of Power Series with Non-Hadamard Gaps.