English

A note on certain convolution operators

Probability 2018-01-25 v3

Abstract

In this note we consider a certain class of convolution operators acting on the L_p spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.

Keywords

Cite

@article{arxiv.1301.2050,
  title  = {A note on certain convolution operators},
  author = {Piotr Nayar and Tomasz Tkocz},
  journal= {arXiv preprint arXiv:1301.2050},
  year   = {2018}
}

Comments

10 pages

R2 v1 2026-06-21T23:07:01.642Z