Multivariate sampling-type approximation (Q5269880)

scientific article; zbMATH DE number 6736545

Language	Label	Description	Also known as
English	Multivariate sampling-type approximation	scientific article; zbMATH DE number 6736545

Statements

instance of

scholarly article

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title

Multivariate sampling-type approximation (English)

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Analysis and Applications

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publication date

28 June 2017

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zbMATH Keywords

generalized sampling expansions

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matrix dilation

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Strang-Fix condition

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approximation order

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MaRDI profile type

MaRDI publication profile

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cites work

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

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

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On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem

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

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

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Q3378542

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Approximation of continuous and discontinuous functions by generalized sampling series

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Reconstruction of signals inLp(ℝ)-space by generalized sampling series based on linear combinations ofB-splines†

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Approximation from Shift-Invariant Spaces by Integral Operators

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A characterization of multivariate quasi-interpolation formulas and its applications

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Translates of multivariate splines

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Q3469665

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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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Dual wavelet frames and Riesz bases in Sobolev spaces

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Order of linear approximation from shift-invariant spaces

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Q4259920

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Approximation properties of multivariate wavelets

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Approximation by quasi-projection operators in Besov spaces

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Q3975831

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Approximation by frame-like wavelet systems

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Spline Representations of Functions in Besov-Triebel-Lizorkin Spaces on ℝ n

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Some remarks on trigonometric interpolation on the $n$-torus

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Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker's cardinal series and related unconditional Schauder bases

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Band-limited scaling and wavelet expansions

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Q5224656

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Q3835991

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On divergence of sinc-approximations everywhere on $(0,\pi)$

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Q3662131

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full work available at URL

https://doi.org/10.1142/s0219530516500147

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Identifiers

zbMATH Open document ID

1366.41020

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DOI

10.1142/S0219530516500147

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5269880