Add to ORKGIn this paper a large class of universal windows for Gabor frames (Weyl-Heisenberg frames) is constructed. These windows have the fundamental property that every overcritical rectangular lattice generates a Gabor frame. Likewise, every undercritical rectangular lattice generates a Riesz sequence. I
AbstractLet A⊂L2(R) be at most countable, and p,q∈N. We characterize various frame-properties for Ga...
AbstractConsider a bounded function g supported on [−1,1] and a modulation parameter b∈]1/2,1[ for w...
AbstractDiscrete Gabor multipliers are composed of rank one operators. We shall prove, in the case o...
In this work we study families of pairs of window functions and lattices which lead to Gabor frames ...
We investigate Gabor frames based on a linear combination of of Hermite functions Hn. We derive suff...
AbstractWe investigate Gabor frames with Gaussian windows in higher dimensions. This problem is equi...
We show that Hilbert–Schmidt operators can be used to define frame-like structures for L2(Rd) over l...
We study time-continuous Gabor frame generating window functions g satisfying decay properties in ti...
We study nonuniform sampling in shift-invariant spaces and the construction of Gabor frames with res...
For a class of compactly supported windows we characterize the frame property for a Gabor system {E(...
Let $(g_{nm})_{n,m\in Z}$ be a Gabor frame for $L_2(R)$ for given window $g$. We show that ...
We study sharp frame bounds of Gabor systems over rectangular lattices for different windows. In som...
A Gabor system is a collection of modulated and translated copies of a window function. If we have a...
Given a window function which generates a Gabor (resp. wavelet) frame. We consider the best approxim...
We consider the construction of tight Gabor frames (h, a = 1, b = 1) from Gabor systems (g, a = 1, b...
AbstractLet A⊂L2(R) be at most countable, and p,q∈N. We characterize various frame-properties for Ga...
AbstractConsider a bounded function g supported on [−1,1] and a modulation parameter b∈]1/2,1[ for w...
AbstractDiscrete Gabor multipliers are composed of rank one operators. We shall prove, in the case o...
In this work we study families of pairs of window functions and lattices which lead to Gabor frames ...
We investigate Gabor frames based on a linear combination of of Hermite functions Hn. We derive suff...
AbstractWe investigate Gabor frames with Gaussian windows in higher dimensions. This problem is equi...
We show that Hilbert–Schmidt operators can be used to define frame-like structures for L2(Rd) over l...
We study time-continuous Gabor frame generating window functions g satisfying decay properties in ti...
We study nonuniform sampling in shift-invariant spaces and the construction of Gabor frames with res...
For a class of compactly supported windows we characterize the frame property for a Gabor system {E(...
Let $(g_{nm})_{n,m\in Z}$ be a Gabor frame for $L_2(R)$ for given window $g$. We show that ...
We study sharp frame bounds of Gabor systems over rectangular lattices for different windows. In som...
A Gabor system is a collection of modulated and translated copies of a window function. If we have a...
Given a window function which generates a Gabor (resp. wavelet) frame. We consider the best approxim...
We consider the construction of tight Gabor frames (h, a = 1, b = 1) from Gabor systems (g, a = 1, b...
AbstractLet A⊂L2(R) be at most countable, and p,q∈N. We characterize various frame-properties for Ga...
AbstractConsider a bounded function g supported on [−1,1] and a modulation parameter b∈]1/2,1[ for w...
AbstractDiscrete Gabor multipliers are composed of rank one operators. We shall prove, in the case o...