74 citations · 214 across the 50 of their papers we have counts for
24 papers · 1 filter
Localized frames on Euclidean balls
Kevin Hughes, Arie Israel, Azita Mayeli
We construct explicit wave packet frames adapted to Euclidean balls and use them to obtain quantitative eigenvalue estimates for spatio--spectral limiting operators. Let \(d\geq 2\…
Wave Packets and Eigenvalue Estimates for Limiting Operators on the Disk
Kevin Hughes, Arie Israel, Azita Mayeli
We study two-dimensional spatio-spectral limiting operators \[ T_R := P_{D(R)} B_S P_{D(R)} : L^2(\mathbb{R}^2) \rightarrow L^2(\mathbb{R}^2), \] where is a disk of radius $…
A characterization of Gabor Riesz bases with separable time-frequency shifts
Christina Frederick, Azita Mayeli
A Gabor system generated by a window function and a separable set is the collection of time-frequency shifts of give…
Non-separable lattices, Gabor orthonormal bases and Tilings
Chun-Kit Lai, Azita Mayeli
Let be a set with positive and finite Lebesgue measure. Let be a lattice in with density dens. It is well-known that if…
Calderón-type inequalities for affine frames
Davide Barbieri, Eugenio Hernández, Azita Mayeli
We prove sharp upper and lower bounds for generalized Calderón's sums associated to frames on LCA groups generated by affine actions of cocompact subgroup translations and general…
Tight Wavelet Frame Sets in Finite Vector Spaces
Alex Iosevich, Chun-Kit Lai, Azita Mayeli
Let be an integer, and , , be the vector space over the cyclic space . The purpose of this paper is two-fold. First, we obtain sufficient c…