Linear independence of Parseval wavelets

zbMath1257.42046MaRDI QIDQ648766

Marcin Bownik, Darrin M. Speegle

Publication date: 28 November 2011

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1318598681

zbMATH Keywords

affine systemlinear independenceParseval wavelet frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Linear function spaces and their duals (46E99)

Related Items (15)

Linear independence of time-frequency translates in \(\mathbb R^d\) ⋮ Frame properties of systems arising via iterated actions of operators ⋮ The HRT Conjecture and the Zero Divisor Conjecture for the Heisenberg Group ⋮ Projections and dyadic Parseval frame MRA wavelets ⋮ Linear independence of a finite set of time-frequency shifts ⋮ Parseval frames built up from generalized shift-invariant systems ⋮ Proof of the HRT conjecture for configurations ⋮ On the finite linear independence of lattice Gabor systems ⋮ Letter to the editor: proof of the HRT conjecture for almost every \((1,3)\) configuration ⋮ Extension and restriction principles for the HRT conjecture ⋮ Linear independence of finite Gabor systems determined by behavior at infinity ⋮ Linear independence of time-frequency translates in \(L^p\) spaces ⋮ Linear independence of time-frequency shifts? ⋮ Linear independence of compactly supported separable shearlet systems ⋮ Approximate frame representations via iterated operator systems

Cites Work

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• The Kadison–Singer Problem in mathematics and engineering
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• Von Neumann algebras and linear independence of translates
• AN EQUIVALENCE RELATION ON WAVELETS IN HIGHER DIMENSIONS
• Linear independence of time-frequency translates
• Affine frames, GMRA's, and the canonical dual
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• Baggett’s Problem for Frame Wavelets

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