Convergence of Subdivision Schemes and Smoothness of Refinable Functions on p-adic Fields
<|reference_start|>Convergence of Subdivision Schemes and Smoothness of Refinable Functions on p-adic Fields: 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.<|reference_end|>
@article{n2024convergence,
    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},
    archivePrefix={arXiv},
    eprint={2406.06628},
    primaryClass={math.NA cs.NA math.FA}
}