Caractère de convergence des séries
Characterization of certain matrix classes involving generalized difference summability spaces.
Characterization of -core and absolute equivalence of double sequences.
Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series
In this paper we obtain two new characterizations of completeness of a normed space through the behaviour of its weakly unconditionally Cauchy series. We also prove that barrelledness of a normed space can be characterized through the behaviour of its weakly- unconditionally Cauchy series in .
Characterizations of series in Banach spaces.
Characterizing wirkfelder of certain classes of summability methods.
Classification analytique de structures de Poisson
Notre étude porte sur une catégorie de structures de Poisson singulières holomorphes au voisinage de et admettant une forme normale formelle polynomiale i.e. un nombre fini d’invariants formels. Les séries normalisantes sont divergentes en général. On montre l’existence de transformations normalisantes holomorphes sur des domaines sectoriels de la forme , où est un monôme associé au problème. Il suit une classification analytique.
Classifications and characterizations of Baire-1 functions
Kechris and Louveau in [5] classified the bounded Baire-1 functions, which are defined on a compact metric space , to the subclasses , . In [8], for every ordinal we define a new type of convergence for sequences of real-valued functions (-uniformly pointwise) which is between uniform and pointwise convergence. In this paper using this type of convergence we obtain a classification of pointwise convergent sequences of continuous real-valued functions defined on a compact metric space , and...
Compact Jacobi matrices : from Stieltjes to Krein and
Consecutive evaluation of Euler sums.
Continued fractions and the fundamental equation of information.
Continued fractions for finite sums
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...
Convergence Acceleration of Limit Periodic Continued Fractions Under Asymptotic Side Conditions.
Convergence in Möbius number systems.
Convergence of composition sequences of bilinear and other transformations , .
Convergence of convex functions and generalized inf-convolutive approximations. (Convergences des fonctions convexes et approximations inf-convolutives généralisées.)
Convergence of functionals and its applications to parabolic equations.
Convergence of infinite products of matrices and inner-outer iteration schemes.
Convergence of -series revisited with applications.