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• W2949323691 abstract "The aim of this article is to present a time-frequency theory for orthogonal polynomials on the interval [-1,1] that runs parallel to the time-frequency analysis of bandlimited functions developed by Landau, Pollak and Slepian. For this purpose, the spectral decomposition of a particular compact time-frequency-operator is studied. This decomposition and its eigenvalues are closely related to the theory of orthogonal polynomials. Results from both theories, the theory of orthogonal polynomials and the Landau-Pollak-Slepian theory, can be used to prove localization and approximation properties of the corresponding eigenfunctions. Finally, an uncertainty principle is proven that reflects the limitation of coupled time and frequency locatability." @default.
• W2949323691 created "2019-06-27" @default.
• W2949323691 creator A5036671307 @default.
• W2949323691 date "2011-04-04" @default.
• W2949323691 modified "2023-09-27" @default.
• W2949323691 title "An orthogonal polynomial analogue of the Landau-Pollak-Slepian time-frequency analysis" @default.
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• W2949323691 hasPublicationYear "2011" @default.
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