Wavelets and framelets from dual pseudo splines

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

Dual pseudo splines constitute a new class of refinable functions with
B-splines as special examples, which was introduced in \cite{DHSS}. In this
paper, we shall construct Riesz wavelet associated with dual pseudo splines.
Furthermore, we use dual pseudo splines to construct tight frame systems with
desired approximation order by applying the unitary extension principle.

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