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

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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.

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Authors and Affiliations

  1. Département de mathématiques et de statistique, Université Laval, Québec City, QC, G1V 0A6, Canada

    Thomas Ransford

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  1. Thomas Ransford
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Correspondence to Thomas Ransford.

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Communicated by Yura Lyubarskii.

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Research supported by Grants from NSERC and the Canada Research Chairs program.

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Ransford, T. Letter to the Editor: A Short Complex-Variable Proof of the Titchmarsh Convolution Theorem. J Fourier Anal Appl 25, 2697–2702 (2019). https://doi.org/10.1007/s00041-019-09679-9

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  • DOI: https://doi.org/10.1007/s00041-019-09679-9

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