Random sampling and unisolvent interpolation by almost everywhere analytic functions

2023/03/24 by Francesco Dell’Accio, Dell'Accio, Francesco, Alvise Sommariva +3
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Approximation and Integration #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2303.14074

openalex publication_date 2023/03/24 · openalex created_date 2023/03/30 · openalex updated_date 2026/07/28

Abstract

We prove a.s. (almost sure) unisolvency of interpolation by continuous random sampling with respect to any given density, in spaces of multivariate a.e. (almost everywhere) analytic functions. Examples are given concerning polynomial and RBF approximation.

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