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Approximation of the Hilbert Transform on the real line using Hermite zeros |
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| Authors: | M. C. De Bonis B. Della Vecchia G. Mastroianni. |
| Affiliation: | Dipartimento di Matematica, Università della Basilicata, C/da Macchia Romana 85100 Potenza, Italy ; Dipartimento di Matematica, Istituto G. Castelnuovo, Università di Roma La Sapienza, P.le Aldo Moro 2, 00185 Roma, Italy ; Dipartimento di Matematica, Università della Basilicata, C/da Macchia Romana 85100 Potenza, Italy |
| 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. |
| Keywords: | Hilbert Transform orthonormal polynomials Gaussian quadrature rules product quadrature rules |
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