4 citations · 6 across the 5 of their papers we have counts for
6 papers
Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation
Amadeo Irigoyen
We first give a method to get multidimensional Leja sequences by considering intertwining sequences from one-dimensional ones. An application is the existence of explicit Leja sequ…
A uniform bound for the Lagrange polynomials of Leja points for the unit disk and applications in multivariate Lagrange interpolation
Amadeo Irigoyen
We study uniform estimates for the family of fundamental Lagrange polynomials associated with any Leja sequence for the complex unit disk. The main result claims that all these pol…
Geometric conditions for the reconstruction of a holomorphic function by an interpolation formula
Amadeo Irigoyen
We give here some precisions and improvements about the validity of the explicit reconstruction of any holomorphic function on a ball of from its restrictions on a f…
A criterion for the explicit reconstruction of a holomorphic function from its restrictions on lines
Amadeo Irigoyen
We deal with a problem of the explicit reconstruction of any holomorphic function on from its restricions on a union of complex lines. The validity of such a rec…
An approximation formula for holomorphic functions by interpolation on the ball
Amadeo Irigoyen
We deal with a problem of the reconstruction of any holomorphic function on the unit ball of from its restricions on a union of complex lines. We give an explici…
Application of approximation theory by nonlinear manifolds in Sturm-Liouville inverse problems
Amadeo Irigoyen
We give here some negative results in Sturm-Liouville inverse theory, meaning that we cannot approach any of the potentials with integrable derivatives on by a…