Add to ORKGWe study sharp frame bounds of Gabor systems over rectangular lattices for different windows. In some cases we obtain optimality results for the square lattice, while in other cases the lattices optimizing the frame bounds and the condition number are different. Also, in some cases optimal lattices do not exist at all and a degenerated system is optimal.Comment: 55 pages, 17 figures, 51 reference
Abstract. Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dua...
We investigate Gabor frames based on a linear combination of of Hermite functions Hn. We derive suff...
AbstractLet A⊂L2(R) be at most countable, and p,q∈N. We characterize various frame-properties for Ga...
We derive frame bound estimates for vector-valued Gabor systems with window functions belonging to S...
We investigate sharp frame bounds of Gabor frames with chirped Gaussians and rectangular lattices or...
Let $(g_{nm})_{n,m\in Z}$ be a Gabor frame for $L_2(R)$ for given window $g$. We show that ...
In this paper a large class of universal windows for Gabor frames (Weyl-Heisenberg frames) is constr...
Let g be a continuous, compactly supported function on R such that the integer translates of g const...
In this work we study families of pairs of window functions and lattices which lead to Gabor frames ...
For a class of compactly supported windows we characterize the frame property for a Gabor system {E(...
One of the key advantages of a frame compared to a basis is its redundancy. Provided we have a contr...
We generalize three main concepts of Gabor analysis for lattices to the setting of model sets: funda...
Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dual Gabor sy...
We report on initial findings on Gabor systems with multivariate Gaus-sian window. Unlike the existi...
In dieser Arbeit werden scharfe Schranken von Gabor Frames mit einem Gauss Fenster studiert. Es wird...
Abstract. Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dua...
We investigate Gabor frames based on a linear combination of of Hermite functions Hn. We derive suff...
AbstractLet A⊂L2(R) be at most countable, and p,q∈N. We characterize various frame-properties for Ga...
We derive frame bound estimates for vector-valued Gabor systems with window functions belonging to S...
We investigate sharp frame bounds of Gabor frames with chirped Gaussians and rectangular lattices or...
Let $(g_{nm})_{n,m\in Z}$ be a Gabor frame for $L_2(R)$ for given window $g$. We show that ...
In this paper a large class of universal windows for Gabor frames (Weyl-Heisenberg frames) is constr...
Let g be a continuous, compactly supported function on R such that the integer translates of g const...
In this work we study families of pairs of window functions and lattices which lead to Gabor frames ...
For a class of compactly supported windows we characterize the frame property for a Gabor system {E(...
One of the key advantages of a frame compared to a basis is its redundancy. Provided we have a contr...
We generalize three main concepts of Gabor analysis for lattices to the setting of model sets: funda...
Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dual Gabor sy...
We report on initial findings on Gabor systems with multivariate Gaus-sian window. Unlike the existi...
In dieser Arbeit werden scharfe Schranken von Gabor Frames mit einem Gauss Fenster studiert. Es wird...
Abstract. Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dua...
We investigate Gabor frames based on a linear combination of of Hermite functions Hn. We derive suff...
AbstractLet A⊂L2(R) be at most countable, and p,q∈N. We characterize various frame-properties for Ga...