On Various Levels of Linear Independence for Integer Translates of a Finite Number of Functions

DOI10.1007/978-3-319-13230-3_9zbMath1344.42030OpenAlexW821730908MaRDI QIDQ2950252

Sandra Saliani

Publication date: 8 October 2015

Published in: Excursions in Harmonic Analysis, Volume 3 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-13230-3_9

zbMATH Keywords

shift invariant spaceslinear independenceinteger translatesGramian

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (1)

\(\ell^2(G)\)-linear independence for systems generated by dual integrable representations of LCA groups

Cites Work

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• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• Schauder bases of integer translates
• Painless nonorthogonal expansions
• On linear independence for integer translates of a finite number of functions
• A sharp correction theorem
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• $\ell ^2$-Linear independence for the system of integer translates of a square integrable function
• Linear independence and sets of uniqueness
• A note on integer translates of a square integrable function on R
• Some Elementary Properties of Proper Values and Proper Vectors of Matrix Functions
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases

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