Continued Fractions Associated With the Newton-Padé Table.
Continuity and convergence properties of extremal interpolating disks.
Let a be a sequence of points in the unit ball of Cn. Eric Amar and the author have introduced the nonnegative quantity ρ(a) = infα infk Πj:j≠k dG(αj, αk), where dG is the Gleason distance in the unit disk and the first infimum is taken over all sequences α in the unit disk which map to a by a map from the disk to the ball.The value of ρ(a) is related to whether a is an interpolating sequence with respect to analytic disks passing through it, and if a is an interpolating sequence in the ball, then...
Continuity on the Boundary and Analytic Continuation of Continued Fractions.
Continuity properties of best analytic approximation.
Continuity versus boundedness of the spectral factorization mapping
This paper characterizes the Banach algebras of continuous functions on which the spectral factorization mapping 𝔖 is continuous or bounded. It is shown that 𝔖 is continuous if and only if the Riesz projection is bounded on the algebra, and that 𝔖 is bounded only if the algebra is isomorphic to the algebra of continuous functions. Consequently, 𝔖 can never be both continuous and bounded, on any algebra under consideration.
Continuous dependence of holomorphic functions on partly given boundary values
Continuous fractions and reduced algebraic formal power series. (Fractions continues et séries formelles algébriques réduites.)
Continuous Measures on Homogenous Spaces
In this paper we generalize Wiener’s characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probability measures on compact semisimple Lie groups and nilmanifolds to be continuous. The methods use only simple properties of heat kernels.
Continuous Newton method for starlike functions.
Continuous solutions of a homogeneous functional equation.
Continuous symmetrized Sobolev inner products of order . II.
Continuously removable sets for quasiconformal mappings.
Contractive curves.
Contribution à l'étude des fonctions méromorphes
Contribution à l'histoire d'un problème de la théorie des fonctions
Contributions to the theory of Hermitian series. III: Mean values.
Convergence Acceleration of Limit Periodic Continued Fractions Under Asymptotic Side Conditions.
Convergence and pre-images of limit points for coding trees for iterations of holomorphic maps.
Convergence and Summability of Gabor Expansions at the Nyquist Density.
Convergence des solutions formelles de certaines équations fonctionelles.