On Kadec' \(1/4\)-theorem and the stability of Gabor frames

zbMath0944.46010MaRDI QIDQ1817746

Wen-chang Sun, Xing-Wei Zhou

Publication date: 8 February 2000

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

Riesz basisframe boundsKadets' 1/4-theoremstability of Gabor frames

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Stability results for Gabor frames and the \(p\)-order hold models ⋮ On multivariable Plancherel-Pólya inequality and truncation error upper bounds in irregular sampling ⋮ Discrete directional Gabor frames ⋮ Varying the time-frequency lattice of Gabor frames ⋮ Exponential bases on two dimensional trapezoids ⋮ Deformations and Balian-Low theorems for Gabor frames on the adeles ⋮ A simple pointview for Kadec-\(1/4\) theorem in the complex case

Cites Work

• Unnamed Item
• On stability bounds of perturbed multivariate trigonometric systems
• On the stability of frames and Riesz bases
• Inequalities of Littlewood–Paley Type for Frames and Wavelets