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Band-limited scaling and wavelet expansions (Q2252182)

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Language	Label	Description	Also known as
English	Band-limited scaling and wavelet expansions	scientific article

Statements

scholarly article

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Band-limited scaling and wavelet expansions (English)

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Applied and Computational Harmonic Analysis

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publication date

16 July 2014

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zbMATH Keywords

sampling theorem

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band-limited functions

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tempered distributions

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scaling expansions

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wavelets

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approximation order

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modulus of continuity

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.acha.2013.03.003

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The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)

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Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )

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Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\)

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The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis

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Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon

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The sampling theorem, Poisson's summation formula, general Parseval formula, reproducing kernel formula and the Paley–Wiener theorem for bandlimited signals – their interconnections

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Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals

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Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm

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Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals

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Reconstruction of signals in<i>L</i><sup><i>p</i></sup>(ℝ)-space by generalized sampling series based on linear combinations of<i>B</i>-splines†

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Biorthogonal bases of compactly supported wavelets

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Order of linear approximation from shift-invariant spaces

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Convergence rates of cascade algorithms

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Approximation by quasi-projection operators in Besov spaces

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Approximation from Shift-Invariant Spaces by Integral Operators

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Approximation by frame-like wavelet systems

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Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems

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Compactly supported tight affine spline frames in 𝐿₂(ℝ^{𝕕})

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On construction of multivariate wavelet frames

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Identifiers

zbMATH Open document ID

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10.1016/j.acha.2013.03.003

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2252182

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