Perturbation theorems for regular sampling in wavelet subspaces

DOI10.1007/s10440-022-00542-6zbMath1504.42104OpenAlexW4309879178WikidataQ121631382 ScholiaQ121631382MaRDI QIDQ2105882

Kumari Priyanka, A. Antony Selvan

Publication date: 8 December 2022

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

Full work available at URL: https://doi.org/10.1007/s10440-022-00542-6

zbMATH Keywords

Riesz basisframesB-splinesBernstein's inequalityMeyer scaling functionnonuniform sampling

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Spline approximation (41A15) Sampling theory in information and communication theory (94A20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An optimal result for sampling density in shift-invariant spaces generated by Meyer scaling function
• Sampling and reconstruction in shift invariant spaces of B-spline functions
• Determination of Riesz bounds for the spline basis with the help of trigonometric polynomials
• Bernstein-type inequalities for splines defined on the real axis
• Sampling and reconstruction in shift-invariant spaces on \(\mathbb R^d\)
• The sampling theorem and linear prediction in signal analysis
• Irregular sampling in wavelet subspaces
• Foundations of time-frequency analysis
• Reconstruction of band-limited functions from local averages
• Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
• Necessary density conditions for sampling an interpolation of certain entire functions
• Frames and bases. An introductory course
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• GENERALIZED IRREGULAR SAMPLING IN SHIFT-INVARIANT SPACES
• Reconstruction Algorithms in Irregular Sampling
• Irregular sampling theorems for wavelet subspaces
• Fast Local Reconstruction Methods for Nonuniform Sampling in Shift-Invariant Spaces
• On sampling in shift invariant spaces
• Reconstruction of functions in spline subspaces from local averages
• Irregular sampling for spline wavelet subspaces
• Average sampling and reconstruction in shift-invariant spaces and variable bandwidth spaces
• AN ANALYSIS METHOD FOR SAMPLING IN SHIFT-INVARIANT SPACES
• Some notes on an expansion theorem of Paley and Wiener

This page was built for publication: Perturbation theorems for regular sampling in wavelet subspaces