English

Highly localized kernels on space of homogeneous type

Classical Analysis and ODEs 2024-06-25 v1

Abstract

Highly localized kernels based on orthogonal polynomials have been studied and utilized over several regular domains. Much of the results deduced via these kernels can be treated uniformly in the framework of localizable spaces of homogeneous type. We clarify the concept of localness and provide a list of such localizable spaces.

Keywords

Cite

@article{arxiv.2406.16345,
  title  = {Highly localized kernels on space of homogeneous type},
  author = {Yuan Xu},
  journal= {arXiv preprint arXiv:2406.16345},
  year   = {2024}
}
R2 v1 2026-06-28T17:16:48.781Z