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Semi-orthogonal wavelet frames on local fields

  • Firdous A. Shah EMAIL logo and M. Younus Bhat
Published/Copyright: September 22, 2015

Abstract

We investigate semi-orthogonal wavelet frames on local fields of positive characteristic and provide a characterization of frame wavelets by means of some basic equations in the frequency domain. The theory of frame multiresolution analysis recently proposed by Shah [20] on local fields is used to establish equivalent conditions for a finite number of functions ψ1,ψ2,,ψL in L2(K) to generate a semi-orthogonal wavelet frame for L2(K).

We are deeply indebted to the referee for his/her valuable suggestions which greatly improved the presentation of this paper.

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Received: 2015-6-27
Revised: 2015-8-18
Accepted: 2015-8-29
Published Online: 2015-9-22
Published in Print: 2016-8-1

© 2016 by De Gruyter

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