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arxiv: 1708.08108 · v1 · pith:6URCOE7Nnew · submitted 2017-08-27 · 🧮 math.FA

The Asymptotic Behaviour of the m-th Order Cardinal B-Spline wavelet

classification 🧮 math.FA
keywords asymptoticbehaviourcardinalordersplinewaveletdecaydecays
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It is well-known that the $m$-th order cardinal $B$-spline wavelet, $\psi_{m},$ decays exponentially. Our aim in this paper is to determine the exact rate of this decay and thereby to describe the asymptotic behaviour of $\psi_{m}$.

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