Convergence of Lagrange interpolation series in the Fock spaces
Andr\'e Dumont (LATP), Karim Kellay (IMB)
TL;DR
This paper investigates the properties of Lagrange interpolation series in radial weighted Fock spaces, focusing on convergence, uniqueness, and interpolation sets, contributing to the understanding of function approximation in these spaces.
Contribution
It provides new insights into the convergence behavior and characterization of interpolation sets for Lagrange series in Fock spaces, which was not fully understood before.
Findings
Characterization of uniqueness sets in Fock spaces
Conditions for convergence of Lagrange interpolation series
Identification of weak interpolation sets
Abstract
We study the uniqueness sets, the weak interpolation sets, and convergence of the Lagrange interpolation series in radial weighted Fock spaces
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Holomorphic and Operator Theory