Kernels of Gramian operators for frames in shift-invariant subspaces

DOI10.1016/j.laa.2011.01.018zbMath1219.42020OpenAlexW2023464414MaRDI QIDQ551238

A. Askari Hemmat, Jean-Pierre Gabardo

Publication date: 15 July 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.01.018

zbMATH Keywords

shift-invariant systemsGramian and dual Gramian operatorsrange function

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) General harmonic expansions, frames (42C15)

Cites Work

• Unnamed Item
• Generalized shift-invariant systems and frames for subspaces
• Properties of oblique dual frames in shift-invariant systems
• A unified characterization of reproducing systems generated by a finite family. II
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Oblique dual frames and shift-invariant spaces
• Orthogonal frames of translates
• The uniqueness of shift-generated duals for frames in shift-invariant subspaces
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)