English

Letter to the editor: A short complex-variable proof of the Titchmarsh convolution theorem

Complex Variables 2020-11-12 v1 Classical Analysis and ODEs

Abstract

The Titchmarsh convolution theorem is a celebrated result about the support of the convolution of two functions. We present a simple proof based on the canonical factorization theorem for bounded holomorphic functions on the unit disk.

Keywords

Cite

@article{arxiv.2011.05420,
  title  = {Letter to the editor: A short complex-variable proof of the Titchmarsh convolution theorem},
  author = {Thomas Ransford},
  journal= {arXiv preprint arXiv:2011.05420},
  year   = {2020}
}
R2 v1 2026-06-23T20:03:48.303Z