English

Convolution with the kernel $e^{s\langle x\rangle^q}, q\geq 1, s>0$ within ultradistribution spaces

Functional Analysis 2021-06-08 v1

Abstract

We consider the existence of convolution of Roumieu type ultradistribution with the kernel es(1+x2)q/2,q1e^{s(1+|x|^2)^{q/2}}, q\geq 1, s\RR\{0}s\in\RR\backslash\{0\}.

Keywords

Cite

@article{arxiv.2106.03265,
  title  = {Convolution with the kernel $e^{s\langle x\rangle^q}, q\geq 1, s>0$ within ultradistribution spaces},
  author = {Stevan Pilipović and Bojan Prangoski and Đorđe Vučković},
  journal= {arXiv preprint arXiv:2106.03265},
  year   = {2021}
}
R2 v1 2026-06-24T02:53:30.184Z