In this paper, we discuss the characterization of frame wavelet sets. We extend some results obtained earlier in the one-dimensional case. More specifically, we completely characterize tight frame wavelet sets in higher dimensions and obtain some necessary conditions and sufficient conditions for a set E to be a frame wavelet set in R-d. Several examples are presented and compared with those in the one-dimensional case. Using our results, one can easily construct various frame wavelet sets. (C) 2003 Published by Elsevier Science B.V
AbstractA general approach based on polyphase splines, with analysis in the frequency domain, is dev...
AbstractAn important tool for the construction of tight wavelet frames is the Unitary Extension Prin...
Abstract. We introduce new ideas to treat the problem of connectiv-ity of wavelets. We develop a met...
In this paper, we try to answer an open question raised by Han and Larson, which asks about the char...
AbstractIn this paper, we discuss the characterization of frame wavelet sets. We extend some results...
Abstract We study properties of the closure of the set of tight frame wavelets. We give a necessary ...
We use the freedom in frame multiresolution analysis to construct tight wavelet frames (even in the ...
AbstractIn this paper, we obtain a necessary condition and a sufficient condition for a general wave...
AbstractWe discuss wavelet frames constructed via multiresolution analysis (MRA), with emphasis on t...
Abstract. One of the major driven forces in the area of applied and computational harmonic analysis ...
AbstractIn this paper we construct multivariate tight wavelet frame decompositions for scalar and ve...
An s-elementary frame wavelet is a function psi is an element of L-2(R) which is a frame wavelet and...
Recent advances in real algebraic geometry and in the theory of polynomial optimization are applied ...
Recent advances in real algebraic geometry and in the theory of polynomial optimization are applied ...
AbstractDensity conditions for wavelet systems with arbitrary sampling points to be frames are studi...
AbstractA general approach based on polyphase splines, with analysis in the frequency domain, is dev...
AbstractAn important tool for the construction of tight wavelet frames is the Unitary Extension Prin...
Abstract. We introduce new ideas to treat the problem of connectiv-ity of wavelets. We develop a met...
In this paper, we try to answer an open question raised by Han and Larson, which asks about the char...
AbstractIn this paper, we discuss the characterization of frame wavelet sets. We extend some results...
Abstract We study properties of the closure of the set of tight frame wavelets. We give a necessary ...
We use the freedom in frame multiresolution analysis to construct tight wavelet frames (even in the ...
AbstractIn this paper, we obtain a necessary condition and a sufficient condition for a general wave...
AbstractWe discuss wavelet frames constructed via multiresolution analysis (MRA), with emphasis on t...
Abstract. One of the major driven forces in the area of applied and computational harmonic analysis ...
AbstractIn this paper we construct multivariate tight wavelet frame decompositions for scalar and ve...
An s-elementary frame wavelet is a function psi is an element of L-2(R) which is a frame wavelet and...
Recent advances in real algebraic geometry and in the theory of polynomial optimization are applied ...
Recent advances in real algebraic geometry and in the theory of polynomial optimization are applied ...
AbstractDensity conditions for wavelet systems with arbitrary sampling points to be frames are studi...
AbstractA general approach based on polyphase splines, with analysis in the frequency domain, is dev...
AbstractAn important tool for the construction of tight wavelet frames is the Unitary Extension Prin...
Abstract. We introduce new ideas to treat the problem of connectiv-ity of wavelets. We develop a met...