In this paper we examine a relationship between the spline collocation projection operator and the Hilbert singular
integral operator . We use Fourier analysis to prove that under certain conditions, a commutator property holds between the two operators. More specifically, we show that for
,
(where
), for some
and
.
On spline collocation and the Hilbert transform
Micula, Sanda
Abstract
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Additional Information
Author(s) | Micula, Sandra |
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