In this paper we show how to construct a certain class of orthonormal bases in starting from one or more Gabor orthonormal bases in . Each such basis can be obtained acting on a single function with a set of unitary operators which operate as translation and modulation operators in suitable variables. The same procedure is also extended to frames and wavelets. Many examples are discussed
Es werden zwei Hauptkonstruktionen von lokalen Fourierbasen erläutert. Die erste besteht darin, eine...
Orthonormal bases and the transformations that are related to them are useful tools in many branches...
We introduce a new notion for the deformation of Gabor systems. Such deformations are in general non...
In this paper we show how to construct a certain class of orthonormal bases in starting from one or ...
This paper is a contribution to frame theory. Frames in a Hilbert space are generalizations of ortho...
Abstract. For an arbitrary full rank lattice Λ in R 2d and a function g ∈ L 2 (R d) the Gabor (or We...
Given g ∈ L^2(R^n), we consider irregular wavelet systems of the form {λ^{n/2}_j g(λ_jx − kb)}j∈Z,k∈...
We show that Hilbert–Schmidt operators can be used to define frame-like structures for L2(Rd) over l...
There have been extensive studies on non-uniform Gabor bases and frames in recent years. But intere...
AbstractThis paper lays the foundation for a quantitative theory of Gabor expansionsf(x)=∑k,nck,ne2π...
AbstractConditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable o...
We apply the orthonormalization procedure previously introduced by Bagarello and Triolo [J. Math. Ph...
Conditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable orthonorm...
We study Weyl-Heisenberg (=Gabor) expansions for either L 2 (IR d ) or a subspace of it. These are...
A Gabor system is a collection of modulated and translated copies of a window function. If we have a...
Es werden zwei Hauptkonstruktionen von lokalen Fourierbasen erläutert. Die erste besteht darin, eine...
Orthonormal bases and the transformations that are related to them are useful tools in many branches...
We introduce a new notion for the deformation of Gabor systems. Such deformations are in general non...
In this paper we show how to construct a certain class of orthonormal bases in starting from one or ...
This paper is a contribution to frame theory. Frames in a Hilbert space are generalizations of ortho...
Abstract. For an arbitrary full rank lattice Λ in R 2d and a function g ∈ L 2 (R d) the Gabor (or We...
Given g ∈ L^2(R^n), we consider irregular wavelet systems of the form {λ^{n/2}_j g(λ_jx − kb)}j∈Z,k∈...
We show that Hilbert–Schmidt operators can be used to define frame-like structures for L2(Rd) over l...
There have been extensive studies on non-uniform Gabor bases and frames in recent years. But intere...
AbstractThis paper lays the foundation for a quantitative theory of Gabor expansionsf(x)=∑k,nck,ne2π...
AbstractConditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable o...
We apply the orthonormalization procedure previously introduced by Bagarello and Triolo [J. Math. Ph...
Conditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable orthonorm...
We study Weyl-Heisenberg (=Gabor) expansions for either L 2 (IR d ) or a subspace of it. These are...
A Gabor system is a collection of modulated and translated copies of a window function. If we have a...
Es werden zwei Hauptkonstruktionen von lokalen Fourierbasen erläutert. Die erste besteht darin, eine...
Orthonormal bases and the transformations that are related to them are useful tools in many branches...
We introduce a new notion for the deformation of Gabor systems. Such deformations are in general non...
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