Oversampling generates super-wavelets
From MaRDI portal
Publication:3432783
DOI10.1090/S0002-9939-07-08724-2zbMath1158.42016arXivmath/0511399OpenAlexW2056389261MaRDI QIDQ3432783
Dorin Ervin Dutkay, Palle E. T. Jorgensen
Publication date: 18 April 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0511399
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Dilations, extensions, compressions of linear operators (47A20) Sampling theory in information and communication theory (94A20)
Related Items (21)
Vector-valued (super) weaving frames ⋮ Vector-valued Gabor frames associated with periodic subsets of the real line ⋮ A class of vector-valued subspace weak Gabor duals of type II ⋮ Nonuniform super wavlets in L^2 (K) ⋮ On Parseval super-frame wavelets ⋮ Super Gabor frames on discrete periodic sets ⋮ On \(s\)-elementary super frame wavelets and their path-connectedness ⋮ Rational time-frequency super Gabor frames and their duals ⋮ A duality principle for groups. II: Multi-frames meet super-frames ⋮ Characterizations of disjointness of \(g\)-frames and constructions of \(g\)-frames in Hilbert spaces ⋮ Frame vector multipliers for finite group representations ⋮ Subspace dual super wavelet and Gabor frames ⋮ Weak affine super bi-frames for reducing subspaces of \(L^{2}(\mathbb R,\mathbb C^{L})\) ⋮ Superframes and polyanalytic wavelets ⋮ Super Oblique Gabor Duals of Super Gabor Frames on Discrete Periodic Sets ⋮ Hilbert space valued Gabor frames in weighted amalgam spaces ⋮ Vector-valued weak Gabor dual frames on discrete periodic sets ⋮ Wavelet frames for (not necessarily reducing) affine subspaces ⋮ Probability and Fourier duality for affine iterated function systems ⋮ On the orthogonality of frames and the density and connectivity of wavelet frames ⋮ A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$
Cites Work
- Unnamed Item
- An optimal spectral estimator for multi-dimensional time series with an infinite number of sample points
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- Translational averaging for completeness, characterization and oversampling of wavelets.
- Characterization of general tight wavelet frames with matrix dilations and tightness preserving oversampling
- Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
- Ten Lectures on Wavelets
- n × Oversampling Preserves any Tight Affine Frame for Odd n
- On the Oversampling of Affine Wavelet Frames
- An introduction to frames and Riesz bases
- Modern sampling theory. Mathematics and applications
This page was built for publication: Oversampling generates super-wavelets
