𝑝-Riesz bases in quasi shift invariant spaces

DOI10.1090/conm/706/14215zbMath1407.46011arXiv1710.00702OpenAlexW2964338099MaRDI QIDQ4686252

Laura De Carli, Pierluigi Vellucci

Publication date: 9 October 2018

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00702

zbMATH Keywords

\(p\)-Riesz basesquasi shift invariant spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (5)

Regular families of kernels for nonlinear approximation ⋮ Average sampling and reconstruction of quasi shift-invariant stochastic processes ⋮ Random sampling in multi-window quasi shift-invariant spaces ⋮ On the structure and interpolation properties of quasi shift-invariant spaces ⋮ A solution for the greedy approximation of a step function with a waveform dictionary

Cites Work

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• Equivalence of the trigonometric system and its perturbations in \(L^p(-\pi,\pi)\)
• Sampling and reconstruction in shift invariant spaces of B-spline functions
• Frame expansions in separable Banach spaces
• A basis theory primer.
• Determination of Riesz bounds for the spline basis with the help of trigonometric polynomials
• On the structure and interpolation properties of quasi shift-invariant spaces
• Slanted matrices, Banach frames, and sampling
• Stability of localized operators
• Functional analysis, Sobolev spaces and partial differential equations
• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• On the stability of multivariate trigonometric systems
• Bézier and B-spline techniques
• \(p\)-frames in separable Banach spaces
• Gabor frames and totally positive functions
• Stability results for Gabor frames and the \(p\)-order hold models
• Combining Riesz bases
• Cardinal interpolation and spline functions
• B-spline signal processing. I. Theory
• WAVELET CHARACTERIZATIONS FOR ANISOTROPIC BESOV SPACES WITH 0<p<1
• Constructive reconstruction from irregular sampling in multi-window spline-type spaces
• Explicit localization estimates for spline-type spaces
• On the Integer Translates of a Compactly Supported Function: Dual Bases and Linear Projectors
• PERTURBATION TECHNIQUES IN IRREGULAR SPLINE-TYPE SPACES
• \(p\)-frames and shift invariant subspaces of \(L^p\)
• Stability of the shifts of global supported distributions

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