On Dual Wavelet Tight Frames
نویسنده
چکیده
A characterization of multivariate dual wavelet tight frames for any general dilation matrix is presented in this paper. As an application, Lawton’s result on wavelet tight frames in L(IR) is generalized to the n-dimensional case. Two ways of constructing certain dual wavelet tight frames in L(IR) are suggested. Finally examples of smooth wavelet tight frames in L(IR) and H(IR) are provided. In particular, an example is given to demonstrate that there is a function ψ, whose Fourier transform is positive, compactly supported and infinitely differentiable, which generates a non-MRA wavelet tight frame in H(IR).
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