Density in L2(Γ,μ) of Certain Families of Functions on LCA Groups Related to the Multi-Channel Sampling Problem

DOI10.1080/01630563.2020.1798996zbMath1458.94187OpenAlexW3048522412MaRDI QIDQ5118186

Juan Miguel Medina, Lutz Klotz

Publication date: 7 September 2020

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2020.1798996

zbMATH Keywords

samplingapproximation theorystationary random processesLCA groups

Mathematics Subject Classification ID

Trigonometric approximation (42A10) General harmonic expansions, frames (42C15) Channel models (including quantum) in information and communication theory (94A40) Sampling theory in information and communication theory (94A20) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (1)

JH-singularity and JH-regularity of multivariate stationary processes over LCA groups

Cites Work

• The spectral representation of stable processes: Harmonizability and regularity
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Density of spaces of trigonometric polynomials with frequencies from a subgroup in \(L^\alpha\)-spaces
• A sampling theorem for multivariate stationary processes
• The Whittaker-Kotel'nikov-Shannon theorem, spectral translates and Plancherel's formula
• On some sampling-related frames in \(U\)-invariant spaces
• Sampling-related frames in finite \(U\)-invariant subspaces
• A converse to Kluvánek's theorem
• Existence of Borel transversals in groups
• On interpolation of q-variate stationary stochastic processes
• Frames and bases. An introductory course
• A Sampling Theorem for Stationary (Wide Sense) Stochastic Processes
• Multi-channel sampling of low-pass signals
• Generalized sampling expansion
• High-resolution computed tomography from efficient sampling
• U-Invariant Sampling and Reconstruction in Atomic Spaces With Multiple Generators
• Borel Measurability in Linear Algebra
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Density in L2(Γ,μ) of Certain Families of Functions on LCA Groups Related to the Multi-Channel Sampling Problem