A family of nonseparable scaling functions and compactly supported tight framelets

DOI10.1016/j.jmaa.2013.02.040zbMath1306.42051OpenAlexW1972330612MaRDI QIDQ488649

Angel San Antolin, Richard A. Zalik

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.02.040

zbMATH Keywords

Fourier transformRiesz basismultiresolution analysislow pass filterscaling functionPaley-Wiener theorem for several complex variablestight framelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15)

Related Items (5)

Some smooth compactly supported tight wavelet frames with vanishing moments ⋮ Two families of compactly supported Parseval framelets in \(L^2( \mathbb{R}^d)\) ⋮ Compactly supported Parseval framelets with symmetry associated to \(E_d^{(2)}(\mathbb{Z})\) matrices ⋮ Some smooth compactly supported tight framelets associated to the quincunx matrix ⋮ On the design of multi-dimensional compactly supported Parseval framelets with directional characteristics

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