Approximation of the Hilbert Transform on the real line using Hermite zeros

De Bonis, M.; Vecchia, B.; Mastroianni, G.

doi:10.1090/S0025-5718-01-01338-2

Approximation of the Hilbert Transform on the real line using Hermite zeros
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by M. C. De Bonis, B. Della Vecchia and G. Mastroianni;

Math. Comp. 71 (2002), 1169-1188

DOI: https://doi.org/10.1090/S0025-5718-01-01338-2

Published electronically: October 25, 2001

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Abstract:

The authors study the Hilbert Transform on the real line. They introduce some polynomial approximations and some algorithms for its numerical evaluation. Error estimates in uniform norm are given.

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