Characterization of nonuniform wavelets associated with 𝔄𝔅-MRA on L²(Λ)

Authors

  • Mohd Younus Bhat Islamic University of Science and Technology.
  • Shahbaz Rafiq Islamic University of Science and Technology.
  • Muddasir A. Lone Islamic University of Science and Technology.
  • Altaf A. Bhat University of Technology and Applied Sciences.

DOI:

https://doi.org/10.22199/issn.0717-6279-4584

Keywords:

wavelets, nouniform, Fourier transform, multiresolution analysis, dimension function

Abstract

Ahmad, Bhat and Sheikh characterized composite wavelets based on results of affine and quasi affine frames. We continued their study and provided the characterization of nonuniform composite wavelets based on results of affine and quasi affine frames. Moreover all the nonuniform composite wavelets associated with 𝔄𝔅 -MRA are characterized on L2(Λ).

Author Biographies

Mohd Younus Bhat, Islamic University of Science and Technology.

Department of Mathematical Sciences.

Shahbaz Rafiq, Islamic University of Science and Technology.

Department of Mathematical Sciences.

Muddasir A. Lone, Islamic University of Science and Technology.

Department of Mathematical Sciences.

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Published

2023-05-09

How to Cite

[1]
M. Y. Bhat, S. Rafiq, M. A. Lone, and A. A. . Bhat, “Characterization of nonuniform wavelets associated with 𝔄𝔅-MRA on L²(Λ)”, Proyecciones (Antofagasta, On line), vol. 42, no. 3, pp. 609-630, May 2023.

Issue

Vol. 42 No. 3 (2023)

Section

ArtĂ­culos

Copyright (c) 2023 Mohd Younus Bhat, Shahbaz Rafiq, Muddasir A. Lone, Altaf A. Bhat

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