Dual Wavelet Frames in Sobolev Space on Local Fields of Positive Characteristic

Abstract

Wavelet frames have gained considerable popularity during the past decade, primarily due to their substantiated applications in diverse and widespread fields of engineering and science. During recent years, non homogeneous wavelet frames have attracted some mathematician's interest. In this article, we obtain the characterization of non homogeneous wavelet frames and non homogeneous dual wavelet frames in a Sobolev spaces on a local field of positive characteristic by means of a pair of equations.