Generalized sampling: From shift-invariant to U-invariant spaces

DOI10.1142/S0219530514500213zbMath1311.42078OpenAlexW2163556134MaRDI QIDQ4983020

Antonio G. García, H. R. Fernández-Morales, María José Muñoz-Bouzo, Miguel Ángel Hernández-Medina

Publication date: 14 April 2015

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530514500213

zbMATH Keywords

dual framesframesstationary sequencesgroup of unitary operatorstime-jitter errorpseudo-dual framesU-invariant subspaces

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (14)

Density of spaces of trigonometric polynomials with frequencies from a subgroup in \(L^\alpha\)-spaces ⋮ Frame properties of systems arising via iterated actions of operators ⋮ Modeling sampling in tensor products of unitary invariant subspaces ⋮ Sampling in unitary invariant subspaces associated to LCA groups ⋮ Knit product of finite groups and sampling ⋮ Riesz bases associated with regular representations of semidirect product groups ⋮ Convolution systems on discrete abelian groups as a unifying strategy in sampling theory ⋮ On Regular Generalized Sampling in T-Invariant Subspaces of a Hilbert Space: An Overview ⋮ Average sampling in certain subspaces of Hilbert-Schmidt operators on \(L^2(\mathbb{R}^d)\) ⋮ Sampling in \(\Lambda\)-shift-invariant subspaces of Hilbert-Schmidt operators on \(L^2(\mathbb{R}^d)\) ⋮ Sampling in the range of the analysis operator of a continuous frame having unitary structure ⋮ On some sampling-related frames in \(U\)-invariant spaces ⋮ Sampling associated with a unitary representation of a semi-direct product of groups: a filter bank approach ⋮ Sampling-related frames in finite \(U\)-invariant subspaces

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