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Generalized nonuniform multiresolution analyses

Volume 153 / 2018

Shiva Mittal, Niraj K. Shukla 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.

Authors

  • Shiva MittalDepartment of Mathematics
    S.P.M. Govt Degree College, Phaphamau
    Allahabad, India 211 013
    e-mail
  • Niraj K. ShuklaDiscipline of Mathematics
    Indian Institute of Technology Indore
    Indore, India 453 552
    e-mail
    e-mail

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