Generalized nonuniform multiresolution analyses
Volume 153 / 2018
Colloquium Mathematicum 153 (2018), 121-147
MSC: Primary 42C40; Secondary 42C15.
DOI: 10.4064/cm6968-11-2016
Published online: 20 April 2018
Abstract
We study the notion of generalized nonuniform multiresolution analysis based on the theory of shift invariant spaces with respect to one-dimensional spectral pairs, which is a generalization of nonuniform multiresolution analysis and generalized multiresolution analysis introduced by Gabardo and Nashed [J. Funct. Anal. 158 (1998)] and Baggett, Medina and Merrill [J. Fourier Anal. Appl. 5 (1999)], respectively.
