Riesz bases and multiresolution analyses
In this paper the author constructs a family of wavelet Riesz bases of compact support and arbitrary degree of smoothness, that cannot be obtained through a multiresolution analysis. The family is obtained by perturbing the orthonormal Haar wavelet with B-splines, giving thus a symmetric wavelet in closed form. The author also obtains several necessary and sufficient conditions for a wavelet Riesz basis to be generated by a multiresolution analysis.
scientific article; zbMATH DE number 1384044
scientific article