A FAMILY OF NONSEPARABLE SMOOTH COMPACTLY SUPPORTED WAVELETS

DOI10.1142/S0219691313500148zbMath1271.42051MaRDI QIDQ2836530

Richard A. Zalik, Angel San Antolin

Publication date: 3 July 2013

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

waveletsFourier transformmultiresolution analysisscaling functionscompactly supported functionsnonseparable functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (1)

Smooth orthonormal basis for \(L_2(\mathbb{R}^2)\) using smooth projections on \(L_2(\mathbb{R}^2)\) associated with rectangles in \(\mathbb{R}^2\)

Cites Work

• Construction of non separable dyadic compactly supported orthonormal wavelet bases for \(L^2(\mathbb{R}^2)\) of arbitrarily high regularity
• Spectral fractorization of Laurent polynomials
• Construction of multivariate compactly supported orthonormal wavelets
• CONSTRUCTION OF COMPACTLY SUPPORTED CONJUGATE SYMMETRIC COMPLEX TIGHT WAVELET FRAMES
• Ten Lectures on Wavelets
• Arbitrarily Smooth Orthogonal Nonseparable Wavelets in $\R^2$
• Construction de bases orthonormées d'ondelettes de L2(R2) non séparables, à support compact et de régularité arbitrairement grande
• A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of 𝐿²(ℝⁿ), where 𝕟≥2
• On the construction of a class of bidimensional nonseparable compactly supported wavelets
• Some methods for constructing nonseparable, orthonormal, compactly supported wavelet bases

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