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Letter to the Editor: A Short Complex-Variable Proof of the Titchmarsh Convolution Theorem

  • Thomas RansfordEmail author
Article
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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

Convolution Laplace transform Singular inner function 

Mathematics Subject Classification

Primary 42A85 Secondary 30JXX 

Notes

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Département de mathématiques et de statistiqueUniversité LavalQuébec CityCanada

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