AbstractIn this paper, we obtain a necessary condition and a sufficient condition for a general wavelet with a matrix dilation to be a frame in L2(Rn). We extend the concept of frame wavelet sets and give their constructions. Several examples are presented and compared with some known results
AbstractIn this article, we develop a general method for constructing wavelets {|detAj|1/2ψ(Ajx−xj,k...
Let A be a d x d real expansive matrix. We characterize the reducing subspaces of L-2(R-d) for A-dil...
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∈...
AbstractIn this paper, we obtain a necessary condition and a sufficient condition for a general wave...
AbstractLet ψ∈L2(Rn), B and Aj (j∈Z) be real nonsingular n×n matrices, λk (k∈Zn) be real numbers. In...
AbstractWe study Parseval frame wavelets in L2(Rn) with matrix dilations of the form (Df)(x)=2f(Ax),...
The main goal of this paper is to consider the necessary and sufficient conditions of wave packet sy...
AbstractWe study Parseval frame wavelets in L2(Rd) with matrix dilations of the form (Df)(x)=2f(Ax),...
In this paper, we try to answer an open question raised by Han and Larson, which asks about the char...
In this paper, we discuss the characterization of frame wavelet sets. We extend some results obtaine...
AbstractWe present some necessary and sufficient conditions for a frame multiresolution analysis (FM...
A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet ...
A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet ...
We characterize all generalized lowpass filters and multiresolution analysis(MRA) Parseval frame wav...
AbstractGiven a real, expansive dilation matrix we prove that any bandlimited function ψ∈L2(Rn), for...
AbstractIn this article, we develop a general method for constructing wavelets {|detAj|1/2ψ(Ajx−xj,k...
Let A be a d x d real expansive matrix. We characterize the reducing subspaces of L-2(R-d) for A-dil...
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∈...
AbstractIn this paper, we obtain a necessary condition and a sufficient condition for a general wave...
AbstractLet ψ∈L2(Rn), B and Aj (j∈Z) be real nonsingular n×n matrices, λk (k∈Zn) be real numbers. In...
AbstractWe study Parseval frame wavelets in L2(Rn) with matrix dilations of the form (Df)(x)=2f(Ax),...
The main goal of this paper is to consider the necessary and sufficient conditions of wave packet sy...
AbstractWe study Parseval frame wavelets in L2(Rd) with matrix dilations of the form (Df)(x)=2f(Ax),...
In this paper, we try to answer an open question raised by Han and Larson, which asks about the char...
In this paper, we discuss the characterization of frame wavelet sets. We extend some results obtaine...
AbstractWe present some necessary and sufficient conditions for a frame multiresolution analysis (FM...
A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet ...
A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet ...
We characterize all generalized lowpass filters and multiresolution analysis(MRA) Parseval frame wav...
AbstractGiven a real, expansive dilation matrix we prove that any bandlimited function ψ∈L2(Rn), for...
AbstractIn this article, we develop a general method for constructing wavelets {|detAj|1/2ψ(Ajx−xj,k...
Let A be a d x d real expansive matrix. We characterize the reducing subspaces of L-2(R-d) for A-dil...
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∈...
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