Multilevel wavelet packets in sobolev space over local fields of positive characteristic

The concepts of multiresolution analysis (MRA) and wavelets in Sobolev space over local fields of positive characteristic ( \(H^s(\mathbb {K})\) $H^s(\mathbb{K})$ ) are developed by Pathak and Singh [9]. In this paper, we constructed wavelet packets in Sobolev space \(H^s(\mathbb {K})\) $H^s(\mathbb{K})$ and derived their orthogonality at each level. By using convolution theory, an example of wavelet packets in \(H^s(\mathbb {K})\) $H^s(\mathbb{K})$ is presented