Properties of Fourier-Stieltjes sequences of distributions with support in [0,1)

R.J.G. Wilms

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    Abstract

    In the literature, the relation between characteristic functions and distribution functions is described by the uniqueness theorem, the inversion theorem, the convolution theorem and the continuity theorem. In this paper we consider the Fourier-Stieltjes sequence of distribution functions that only have probability mass in the half-open interval [0,1). We study the connection between properties of this Fourier-Stieltjes sequence and properties of the distribution function.
    Original languageEnglish
    Place of PublicationEindhoven
    PublisherTechnische Universiteit Eindhoven
    Number of pages14
    Publication statusPublished - 1991

    Publication series

    NameMemorandum COSOR
    Volume9106
    ISSN (Print)0926-4493

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