Characterization of Riesz bases,generated from two-direction refinement function and two-direction wavelets

LI Wan-she · Basic Sciences Journal of Textile Universities · 2008

With the help of concept of two-direction refinement function and twodirection wavelets which are investigated refinement function of orthogonal prinples.Main result gives a complete characterization for an affine family of wavelets induced by a compactly supported to form a Riesz basis of L2.It is characterized a Riesz basis associated with an exponentially decaying mask in term of refinement function and two-direction wavelets.

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