On MRA Riesz wavelets

DOI10.1090/S0002-9939-06-08531-5zbMath1136.42032OpenAlexW1517266710MaRDI QIDQ3420051

Richard A. Zalik

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08531-5

zbMATH Keywords

multiresolution analysisRiesz waveletsframe waveletssemiorthogonal waveletsBessel wavelets

Mathematics Subject Classification ID

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

Related Items (8)

Necessary and sufficient conditions for discrete wavelet frames in \(\mathbb{C}^N\) ⋮ \(\mathcal K\)-matrix-valued wave packet frames in \(L^2(\mathbb R^d,\mathbb C^{s\times r})\) ⋮ Duality for matrix-valued wave packet frames in L2(ℝd, ℂs×r) ⋮ Riesz multiresolution analysis on locally compact abelian groups: construction and exceptions ⋮ On matrix-valued wave packet frames in \(L^2(\mathbb{R}^d, \mathbb{C}^{s\times r})\) ⋮ Bases of translates and multiresolution analyses ⋮ Multivariate Gabor frames for operators in matrix-valued signal spaces over locally compact abelian groups ⋮ Frames with several generators associated with Weyl-Heisenberg group and extended affine group

Cites Work

• On the stability of frames and Riesz bases
• Inequalities of Littlewood–Paley Type for Frames and Wavelets
• An introduction to frames and Riesz bases
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