Smooth functions associated with wavelet sets on \(\mathbb R^{d}\), \(d\geq 1\), and frame bound gaps

DOI10.1007/s10440-008-9412-2zbMath1175.42018OpenAlexW2100952257MaRDI QIDQ1038741

Emily J. King, John J. Benedetto

Publication date: 20 November 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9412-2

zbMATH Keywords

frameswavelet setsconvolutional smoothingframe bound gaps

Mathematics Subject Classification ID

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

Related Items (4)

Dilation‐and‐modulation frame sets on the half real line ⋮ Examples of frames on the Cantor dyadic group ⋮ SMOOTH PARSEVAL FRAMES FOR L²(ℝ) AND GENERALIZATIONS TO L²(ℝ^d) ⋮ Simple wavelet sets in \(\mathbb{R}^{n}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Smoothing minimally supported frequency wavelets. II
• Single wavelets in \(n\)-dimensions
• The theory of multiresolution analysis frames and applications to filter banks
• On the stability of wavelet and Gabor frames (Riesz bases)
• Bessel sequences and affine frames
• Wavelet sets in \(\mathbb{R}^ n\)
• On dual wavelet tight frames
• Smoothing minimally supported frequency wavelets. I
• The canonical dual frame of a wavelet frame
• On the stability of frames and Riesz bases
• Solution of two problems on wavelets
• Generalized multi-resolution analyses and a construction procedure for all wavelet sets in \(\mathbb{R}^n\)
• Tight frames and geometric properties of wavelet sets
• A non-MRA \(c^r\) frame wavelet with rapid decay
• Perturbations of the Haar wavelet by convolution
• Interpolation operators associated with sub-frame sets
• Ten Lectures on Wavelets
• Inequalities of Littlewood–Paley Type for Frames and Wavelets
• Wandering vectors for unitary systems and orthogonal wavelets
• How to Make Wavelets
• Perturbations of Banach Frames and Atomic Decompositions
• Simple Wavelet Sets for Scalar Dilations in ℝ2
• A Class of Nonharmonic Fourier Series
• Symplectic geometry and the uniqueness of Grauert tubes

This page was built for publication: Smooth functions associated with wavelet sets on \(\mathbb R^{d}\), \(d\geq 1\), and frame bound gaps