Generalized nonuniform multiresolution analyses
S Mittal, NK Shukla - Colloquium Mathematicum, 2018 - impan.pl
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.
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.
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