In this paper, we study the stability of multiwavelet frames with different matrix dilations and matrix translations by means of operator theory and show that these frames remain stable over some kinds of perturbations of the basic generators
AbstractWe study Parseval frame wavelets in L2(Rd) with matrix dilations of the form (Df)(x)=2f(Ax),...
AbstractA countable family {xj}, j∈J, in a separable Hilbert space H, is a Parseval frame for H if ‖...
AbstractWavelet frames with matrix dilation are studied. We found a necessary condition and a suffic...
AbstractLet ψ∈L2(Rn), B and Aj (j∈Z) be real nonsingular n×n matrices, λk (k∈Zn) be real numbers. In...
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction...
Abstract. We establish dilation theorems for non-tight frames with additional structure, i.e., frame...
Cordoba and Fefferman [4] introduced wave packet systems by applying certain collections of dilation...
A Fourier multiplier for orthonormal wavelets is an L∞- function that sends every orthonormal wavele...
A Fourier multiplier for orthonormal wavelets is an L∞- function that sends every orthonormal wavele...
AbstractThe first part of this paper supplements the recent work of Heil and Christensen on the stab...
AbstractThe first part of this paper supplements the recent work of Heil and Christensen on the stab...
A Fourier multiplier for orthonormal wavelets is an L-infinity-function that sends every orthonormal...
A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet ...
AbstractIn this paper, we obtain a necessary condition and a sufficient condition for a general wave...
A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet ...
AbstractWe study Parseval frame wavelets in L2(Rd) with matrix dilations of the form (Df)(x)=2f(Ax),...
AbstractA countable family {xj}, j∈J, in a separable Hilbert space H, is a Parseval frame for H if ‖...
AbstractWavelet frames with matrix dilation are studied. We found a necessary condition and a suffic...
AbstractLet ψ∈L2(Rn), B and Aj (j∈Z) be real nonsingular n×n matrices, λk (k∈Zn) be real numbers. In...
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction...
Abstract. We establish dilation theorems for non-tight frames with additional structure, i.e., frame...
Cordoba and Fefferman [4] introduced wave packet systems by applying certain collections of dilation...
A Fourier multiplier for orthonormal wavelets is an L∞- function that sends every orthonormal wavele...
A Fourier multiplier for orthonormal wavelets is an L∞- function that sends every orthonormal wavele...
AbstractThe first part of this paper supplements the recent work of Heil and Christensen on the stab...
AbstractThe first part of this paper supplements the recent work of Heil and Christensen on the stab...
A Fourier multiplier for orthonormal wavelets is an L-infinity-function that sends every orthonormal...
A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet ...
AbstractIn this paper, we obtain a necessary condition and a sufficient condition for a general wave...
A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet ...
AbstractWe study Parseval frame wavelets in L2(Rd) with matrix dilations of the form (Df)(x)=2f(Ax),...
AbstractA countable family {xj}, j∈J, in a separable Hilbert space H, is a Parseval frame for H if ‖...
AbstractWavelet frames with matrix dilation are studied. We found a necessary condition and a suffic...