Numerical approximations of highly oscillatory Hilbert transforms
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DOI: 10.1007/s40314-020-01193-9
Abstract: In this paper, we are concerned with the numerical approximations of one-sided Hilbert transforms with oscillatory kernel by means of the multiple integrals. This type of Hilbert transform has two computing difficulties: singularity and oscillation.… read more here.
Keywords: hilbert transforms; highly oscillatory; oscillatory hilbert; hilbert ... See more keywords
SAMPLING AND INTERPOLATION FOR THE DISCRETE HILBERT AND KAK-HILBERT TRANSFORMS
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DOI: 10.4153/s0008439522000169
Abstract: The goal of the paper is to obtain analogs of the sampling theorems and of the Riesz-Boas interpolation formulas which are relevant to the Discrete Hilbert and Kak-Hilbert transforms in l. read more here.
Keywords: interpolation; discrete hilbert; kak hilbert; hilbert transforms ... See more keywords