Convergence of Subdivision Schemes and Smoothness of Refinable Functions on p-adic Fields
Numerical Analysis
2024-06-12 v1 Numerical Analysis
Functional Analysis
Abstract
A systematic and comprehensive study of p-adic refinement equations and subdivision scheme associated with a finitely supported refinement mask are carried out in this paper. The Lq -convergence of the subdivision scheme is characterized in terms of the q-norm joint spectral radii of a collection of operators associated with the refinement mask. Also, the smoothness of complex-valued functions on Qp is investigated.
Keywords
Cite
@article{arxiv.2406.06628,
title = {Convergence of Subdivision Schemes and Smoothness of Refinable Functions on p-adic Fields},
author = {Athira N and Lineesh M C},
journal= {arXiv preprint arXiv:2406.06628},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2406.05368