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Convolution quotients of nonnegative functions

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Abstract

LetG be a locally compact commutative Hausdorff group andf a function belonging toL 1(G). If the integral off with respect to the Haar measure is positive, then one can find a nonnegative (not identically 0) functiong such that the convolution off andg is also nonnegative.

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References

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Authors and Affiliations

  1. Mathematical Institute, Hungarian Academy of Sciences, Realtanoda Utca 13-15, Budapest, Hungary

    Imre Z. Ruzsa

  2. Department of Probability Theory, University of Budapest, Budapest, Hungary

    Gábor J. Székely

Authors
  1. Imre Z. Ruzsa
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  2. Gábor J. Székely
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Ruzsa, I.Z., Székely, G.J. Convolution quotients of nonnegative functions. Monatshefte für Mathematik 95, 235–239 (1983). https://doi.org/10.1007/BF01352002

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  • DOI: https://doi.org/10.1007/BF01352002

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