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A discrete variation on Kronecker's theorem - MaRDI portal

A discrete variation on Kronecker's theorem (Q1894517)

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scientific article; zbMATH DE number 778278
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A discrete variation on Kronecker's theorem
scientific article; zbMATH DE number 778278

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    A discrete variation on Kronecker's theorem (English)
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    24 July 1995
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    This note presents a classical theorem due to Kronecker that a Hankel operator with bounded measurable symbol on the unit circle has finite rank precisely when the antianalytic part of the symbol is rational. A similar result for the Hankel matrices analogously formed from the discrete Fourier transform of a continuous function is also presented.
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    measurable symbol
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    Hankel operator
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    finite rank
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    discrete Fourier transform
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