AbstractWe consider Gabor frames generated by a Gaussian function and describe the behavior of the frame constants as the density of the lattice approaches the critical value
We consider tight Gabor frames (h,a=1,b=1) at critical density with h of the form Z -1(Zg/|Zg|). Her...
AbstractTwo sufficient conditions for the Gabor system to be a frame for L2(R) are presented in this...
We introduce a new notion for the deformation of Gabor systems. Such deformations are in general non...
We consider the construction of tight Gabor frames (h, a = 1, b = 1) from Gabor systems (g, a = 1, b...
AbstractThe well-known density theorem for one-dimensional Gabor systems of the form {e2πimbxg(x−na)...
AbstractLet A⊂L2(R) be at most countable, and p,q∈N. We characterize various frame-properties for Ga...
AbstractWe investigate Gabor frames with Gaussian windows in higher dimensions. This problem is equi...
AbstractA Gabor system is a set of time-frequency shifts S(g, Λ) ={e2 π ibxg(x − a)}(a, b) ∈ Λ of a ...
AbstractA Gabor system for L2(Rd) has the form G(g,Λ)={e2πibxg(x−a)}(a,b)∈Λ, where g∈L2(Rd) and Λ is...
Gabor frames are a standard tool to decompose functions into a discrete sum of "coherent states", wh...
AbstractIn this paper, we study the stability of Gabor frames {ϕmb,na:m,n∈Z}. We show that {ϕmb,na:m...
AbstractThis paper lays the foundation for a quantitative theory of Gabor expansionsf(x)=∑k,nck,ne2π...
Gaborframes liefern stabile, diskrete Zeit-Frequenz-Darstellungen in L^2(R^d). Es ist daher von gr...
AbstractWe show that (g2,a,b) is a Gabor frame when a>0, b>0, ab<1, and g2(t)=(12πγ)1/2(coshπγt)−1 i...
We show that (g\u3csub\u3e2\u3c/sub\u3e,a,b) is a Gabor frame when a > 0, b > 0, ab<1, and ...
We consider tight Gabor frames (h,a=1,b=1) at critical density with h of the form Z -1(Zg/|Zg|). Her...
AbstractTwo sufficient conditions for the Gabor system to be a frame for L2(R) are presented in this...
We introduce a new notion for the deformation of Gabor systems. Such deformations are in general non...
We consider the construction of tight Gabor frames (h, a = 1, b = 1) from Gabor systems (g, a = 1, b...
AbstractThe well-known density theorem for one-dimensional Gabor systems of the form {e2πimbxg(x−na)...
AbstractLet A⊂L2(R) be at most countable, and p,q∈N. We characterize various frame-properties for Ga...
AbstractWe investigate Gabor frames with Gaussian windows in higher dimensions. This problem is equi...
AbstractA Gabor system is a set of time-frequency shifts S(g, Λ) ={e2 π ibxg(x − a)}(a, b) ∈ Λ of a ...
AbstractA Gabor system for L2(Rd) has the form G(g,Λ)={e2πibxg(x−a)}(a,b)∈Λ, where g∈L2(Rd) and Λ is...
Gabor frames are a standard tool to decompose functions into a discrete sum of "coherent states", wh...
AbstractIn this paper, we study the stability of Gabor frames {ϕmb,na:m,n∈Z}. We show that {ϕmb,na:m...
AbstractThis paper lays the foundation for a quantitative theory of Gabor expansionsf(x)=∑k,nck,ne2π...
Gaborframes liefern stabile, diskrete Zeit-Frequenz-Darstellungen in L^2(R^d). Es ist daher von gr...
AbstractWe show that (g2,a,b) is a Gabor frame when a>0, b>0, ab<1, and g2(t)=(12πγ)1/2(coshπγt)−1 i...
We show that (g\u3csub\u3e2\u3c/sub\u3e,a,b) is a Gabor frame when a > 0, b > 0, ab<1, and ...
We consider tight Gabor frames (h,a=1,b=1) at critical density with h of the form Z -1(Zg/|Zg|). Her...
AbstractTwo sufficient conditions for the Gabor system to be a frame for L2(R) are presented in this...
We introduce a new notion for the deformation of Gabor systems. Such deformations are in general non...
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