There are several theorems which are known to be equivalent to the Titchmarsh convolution theorem.


Continuous Function Linear Combination Linear Space Real Line Positive Function 
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    C. Foias, Approximation des opérateurs de J. Mikusinski par des fonctions continues. Studia Math. 21 (1961), 73–74.Google Scholar
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    J. Mikusiński, An approximation theorem and its application in operational calculus. Studia Math. 27 (1966), 141–145.Google Scholar
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    T. Boehme, Convergence of positive functions in the space of Mikusinski operators. Proc. Amer. Math. Soc. 17 (1966), 12–17.Google Scholar

Copyright information

© Springer Basel AG 1969

Authors and Affiliations

  • T. K. Boehme
    • 1
  1. 1.University of CaliforniaSanta BarbaraUSA

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