Geodesic
Approximation of the Hilbert transform via use of sinc convolution
Electronic transactions on numerical analysis, Tome 23 (2006), pp. 320-328.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This paper derives a novel method of approximating the Hilbert transform by the use of sinc convolution. The proposed method may be used to approximate the Hilbert transform over any subinterval of the real $\textcent $line , which means the interval may be a finite or semi-infinite interval, or the entire real line .
Classification : 65R10
Keywords: sinc methods, Hilbert transform, Cauchy principal value integral 
@article{ETNA_2006__23__a1,
     author = {Yamamoto, Toshihiro},
     title = {Approximation of the {Hilbert} transform via use of sinc convolution},
     journal = {Electronic transactions on numerical analysis},
     pages = {320--328},
     publisher = {mathdoc},
     volume = {23},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a1/}
}
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Yamamoto, Toshihiro. Approximation of the Hilbert transform via use of sinc convolution. Electronic transactions on numerical analysis, Tome 23 (2006), pp. 320-328. http://geodesic.mathdoc.fr/item/ETNA_2006__23__a1/