On entire functions restricted to intervals, partition of unities, and dual Gabor frames
From MaRDI portal
Publication:466974
DOI10.1016/j.acha.2014.03.005zbMath1302.42048arXiv1308.5557OpenAlexW2123586504MaRDI QIDQ466974
Ole Christensen, Hong Oh Kim, Rae Young Kim
Publication date: 3 November 2014
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.5557
tight framesentire functionstrigonometric polynomialspartition of unitydual frame pairsGabor systems
Related Items (8)
On the Gabor frame set for compactly supported continuous functions ⋮ On partition of unities generated by entire functions and Gabor frames in \( L^2(\mathbb R^d) \) and \(\ell^2(\mathbb Z^d)\) ⋮ A class of reproducing systems generated by a finite family in \(L^2 (\mathbb{R}_+)\) ⋮ CHARACTERISATIONS OF PARTITION OF UNITIES GENERATED BY ENTIRE FUNCTIONS IN ⋮ On compactly supported dual windows of Gabor frames ⋮ Duality for frames ⋮ Translation partitions of unity, symmetry properties, and Gabor frames ⋮ Designing Gabor windows using convex optimization
Cites Work
- Banach spaces related to integrable group representations and their atomic decompositions. II
- Gabor dual spline windows
- On a new Segal algebra
- Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)
- Atomic characterizations of modulation spaces through Gabor-type representations
- On dual Gabor frame pairs generated by polynomials
- Frames and bases. An introductory course
- DUAL PAIRS OF GABOR FRAMES FOR TRIGONOMETRIC GENERATORS WITHOUT THE PARTITION OF UNITY PROPERTY
- Gabor frames with trigonometric spline dual windows
- Painless nonorthogonal expansions
- Density theorems for sampling and interpolation in the Bargmann-Fock space I.
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On entire functions restricted to intervals, partition of unities, and dual Gabor frames
