ON CHARACTERIZATION OF MULTIWAVELET PACKETS ASSOCIATED WITH A DILATION MATRIX

Authors

  • FIRDOUS A. SHAH Department of Mathematics, University of Kashmir South Campus Anantnag-192101, Jammu and Kashmir, India

Keywords:

Multiresolution analysis, Multiwavelet packet, Dilation matrix, Frame, Bessel’s sequence, Fourier transform

Abstract

We provide a complete characterization of multiwavelet packets associated with dilation matrix based on results on affine and quasi-affine frames. Moreover, these characterizations are valid without any decay assumptions on the generators of the system.

Author Biography

FIRDOUS A. SHAH, Department of Mathematics, University of Kashmir South Campus Anantnag-192101, Jammu and Kashmir, India

Department of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India.

Additional Files

Published

05/13/2015

Issue

Vol. 6 No. 1 (2015): JNAO

Section

Research Articles

License

Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.