3 papers
math.NA2025
The path of hyperinterpolation: A survey
Congpei An, Jiashu Ran, Hao-Ning Wu
This paper surveys hyperinterpolation, a quadrature-based approximation scheme. We cover classical results, provide examples on several domains, review recent progress on relaxed q…
math.FA2025
The algebraic structure of hyperinterpolation class on the sphere
Congpei An, Jiashu Ran
This paper investigates the algebraic properties of the hyperinterpolation class on the unit sphere . We focus on operators derived from…
math.NA2025
Recovery Thresholding Hyperinterpolations in Signal Processing
Congpei An, Jiashu Ran
This paper introduces recovery thresholding hyperinterpolations, a novel class of methods for sparse signal reconstruction in the presence of noise. We develop a framework that int…