The relationship between the spectral properties of the transfer operator corresponding to a wavelet refinement equation and the $L^p$-Sobolev regularity of solution for the equation is established
We prove that suitable wavelets and scaling functions give characterizations and unconditional bases...
International audienceIn this paper we determine the multifractal nature of almost every function (i...
. We apply the Lax-Phillips wave equation scattering theory to multiresolutions associated with wave...
Refinable functions underlie the theory and constructions of wavelet systems on the one hand, and th...
AbstractRefinable functions underlie the theory and constructions of wavelet systems on the one hand...
Several results are proved which characterize the rate at which wavelet and multiresolution expansio...
AbstractC. K. Chui and J. Z. Wang [J. Approx. Theory71(1992), 263–304] derived support properties fo...
We show that a multi-dimensional scaling function of order γ (possibly fractional) can always be rep...
The regularity of a univariate compactly supported refinable function is known to be related to the ...
A popular wavelet reference [W] states that "in theoretical and practical studies, the notion of (wa...
In real life application all signals are not obtained from uniform shifts; so there is a natural que...
We present a construction of regular compactly supported wavelets in any Sobolev space of integer or...
AbstractWe give preliminary results on the Hölder exponent of wavelets of compact support. In partic...
Abstract—In this paper, we revisit wavelet theory starting from the representation of a scaling func...
In this paper we use the lifting scheme to construct biorthogonal spline wavelet bases on regularly ...
We prove that suitable wavelets and scaling functions give characterizations and unconditional bases...
International audienceIn this paper we determine the multifractal nature of almost every function (i...
. We apply the Lax-Phillips wave equation scattering theory to multiresolutions associated with wave...
Refinable functions underlie the theory and constructions of wavelet systems on the one hand, and th...
AbstractRefinable functions underlie the theory and constructions of wavelet systems on the one hand...
Several results are proved which characterize the rate at which wavelet and multiresolution expansio...
AbstractC. K. Chui and J. Z. Wang [J. Approx. Theory71(1992), 263–304] derived support properties fo...
We show that a multi-dimensional scaling function of order γ (possibly fractional) can always be rep...
The regularity of a univariate compactly supported refinable function is known to be related to the ...
A popular wavelet reference [W] states that "in theoretical and practical studies, the notion of (wa...
In real life application all signals are not obtained from uniform shifts; so there is a natural que...
We present a construction of regular compactly supported wavelets in any Sobolev space of integer or...
AbstractWe give preliminary results on the Hölder exponent of wavelets of compact support. In partic...
Abstract—In this paper, we revisit wavelet theory starting from the representation of a scaling func...
In this paper we use the lifting scheme to construct biorthogonal spline wavelet bases on regularly ...
We prove that suitable wavelets and scaling functions give characterizations and unconditional bases...
International audienceIn this paper we determine the multifractal nature of almost every function (i...
. We apply the Lax-Phillips wave equation scattering theory to multiresolutions associated with wave...