Extension of Shift-Invariant Systems inL2(ℝ) to Frames

DOI10.1080/01630563.2012.682131zbMath1253.42029OpenAlexW2020982336MaRDI QIDQ2919980

Marcin Bownik, Ole Christensen, Xinli Huang, Baiyun Yu

Publication date: 23 October 2012

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

Full work available at URL: https://doi.org/10.1080/01630563.2012.682131

zbMATH Keywords

framesshift-invariant systems

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items

Expansion of weak reconstruction sequences to approximate Schauder frames for Banach spaces

Cites Work

• Unnamed Item
• Expansion of frames to tight frames
• The theory of multiresolution analysis frames and applications to filter banks
• The matrix-valued Riesz lemma and local orthonormal bases in shift-invariant spaces
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Factorization of multivariate positive Laurent polynomials
• Positive extension, Fejér-Riesz factorization and autoregressive filters in two variables
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)