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A quantitative maximum entropy theorem for the real line - MaRDI portal

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A quantitative maximum entropy theorem for the real line (Q1099127)

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scientific article; zbMATH DE number 4039785
Language Label Description Also known as
English
A quantitative maximum entropy theorem for the real line
scientific article; zbMATH DE number 4039785

    Statements

    title
    A quantitative maximum entropy theorem for the real line (English)
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    author
    John J. Benedetto
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    publication date
    1987
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    review text
    A bound B is constructed for a large and natural class of entropy integrals on the real line. The construction involves Burg's maximum entropy theorem for the circle group and techniques from harmonic analysis. As the solution of an extension problem, the construction of B leads to a further construction problem which can be viewed as a means of refining Krein's theorem on positive definite extensions.
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    zbMATH Keywords
    entropy integrals on the real line
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    Burg's maximum entropy theorem
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    harmonic analysis
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    Identifiers

    DOI
    10.1007/BF01196118
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    zbMATH DE Number
    4039785
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