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arxiv: 1804.05888 · v3 · submitted 2018-04-16 · 🧮 math-ph · math.MP

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Oversampling and undersampling in de Branges spaces arising from regular Schr\"odinger operators

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classification 🧮 math-ph math.MP
keywords spacesarisingbrangesfunctionsodingeroperatorsoversamplingregular
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The classical results on oversampling and undersampling (or aliasing), of functions in Paley-Wiener spaces, are generalized to the case of functions in de Branges spaces arising from regular Schr\"odinger operators with a wide range of potentials.

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