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arxiv: 1111.6963 · v1 · submitted 2011-11-29 · 🧮 math.FA · math.CA· math.SP

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Landau's necessary density conditions for the Hankel transform

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keywords conditionsnecessarydensityfunctionshankellandautransformacta
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We will prove an analogue of Landau's necessary conditions [Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 (1967).] for spaces of functions whose Hankel transform is supported in a measurable subset S of the positive semi-axis. As a special case, necessary density conditions for the existence of Fourier-Bessel frames are obtained.

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