<abstract xmlns="http://www.w3.org/1999/xhtml"><p>An important tool for the construction of framelets on local fields of positive characteristic using unitary extension principle was presented by Shah and Debnath [Tight wavelet frames on local fields, Analysis, 33 (2013), 293-307]. In this article, we continue the study of framelets on local fields and present a polyphase matrix characterization of framelets generated by the extension principle.</p></abstract>

An important tool for the construction of framelets on local fields of positive characteristic using unitary extension principle was presented by Shah and Debnath [Tight wavelet frames on local fields, Analysis, 33 (2013), 293-307]. In this article, we continue the study of framelets on local fields and present a polyphase matrix characterization of framelets generated by the extension principle.

Polyphase matrix characterization of framelets on local fields of positive characteristic

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

An important tool for the construction of framelets on local fields of positive characteristic using unitary extension principle was presented by Shah and...

Polyphase matrix characterization of framelets on local fields of positive characteristic

Published Online: Aug 05, 2017

Page range: 248 - 259

Received: Aug 06, 2016

DOI: https://doi.org/10.1515/ausm-2017-0017

Keywords
wavelet frame, framelet, wavelet mask, polyphase matrix, local field, extension principle, Fourier transform

© 2017 F. A. Shah et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Polyphase matrix characterization of framelets on local fields of positive characteristic

Published Online: Aug 05, 2017

Page range: 248 - 259

Received: Aug 06, 2016

DOI: https://doi.org/10.1515/ausm-2017-0017

Keywordswavelet frame, framelet, wavelet mask, polyphase matrix, local field, extension principle, Fourier transform

© 2017 F. A. Shah et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
wavelet frame, framelet, wavelet mask, polyphase matrix, local field, extension principle, Fourier transform