English

A family of convolution operators, part two

Classical Analysis and ODEs 2025-03-05 v2

Abstract

We study a family of convolution operators. Their regarding Fourier multipliers are defined in terms of distributions having singularity on the light-cone in Rn+1\mathbb{R}^{n+1}. As a result, we give a new approach to the Bochner-Riesz summability.

Keywords

Cite

@article{arxiv.2502.02286,
  title  = {A family of convolution operators, part two},
  author = {Zipeng Wang},
  journal= {arXiv preprint arXiv:2502.02286},
  year   = {2025}
}

Comments

We give more explanations on the derivation of the formula (2.9)

R2 v1 2026-06-28T21:32:04.668Z