Characterization of linear functionals associated with bilinear forms of Sobolev type.
Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's (Ap) condition.
We describe the complete interpolating sequences for the Paley-Wiener spaces Lπp (1 < p < ∞) in terms of Muckenhoupt's (Ap) condition. For p = 2, this description coincides with those given by Pavlov [9], Nikol'skii [8] and Minkin [7] of the unconditional bases of complex exponentials in L2(-π,π). While the techniques of these authors are linked to the Hilbert space geometry of Lπ2, our method of proof is based in turning the problem into one about boundedness of the Hilbert transform...
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...
Convergence of Padé approximants for a q-hypergeometric series (Wynn's Power Series III).
Convergence of Padé approximants for a q-hypergeometric series (Wynn's Power Series III). (Summary).
Convergence of Padé approximants for a q-hypergeometric series (Wynn's Power Series I). (Summary).
Convergence of Padé approximations for a q-hypergeometric series (Wynn's Power Series I).