Hilbert transform and related topics associated with the differential Jacobi operator on \((0, +\infty)\) (Q548200)
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scientific article; zbMATH DE number 5913992
| Language | Label | Description | Also known as |
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| English | Hilbert transform and related topics associated with the differential Jacobi operator on \((0, +\infty)\) |
scientific article; zbMATH DE number 5913992 |
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Hilbert transform and related topics associated with the differential Jacobi operator on \((0, +\infty)\) (English)
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28 June 2011
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The aim of this paper is to exploit modern harmonic analysis results about the Hilbert transform and the conjugate Poisson integral for defining, and studying Hilbert transform associated with the Jacobi differential operator. The tools used are the Littlewood-Paley \(g\)-functions associated with the Poisson semigroup and the supplementary Poisson semigroup which is introduce in the paper.
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Jacobi operator
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Hilbert transform
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Littlewood function
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conjugate Poisson integral
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