Vector-Valued Wavelet Packets on Local Fields of Positive Characteristic

New Zealand Journal of Mathematics (Online)

Firdous A. Shah ; M. Y. Bhat

关键词: Vector-valued multiresolution analysis;    Wavelet;    Wavelet packet;    Local field;    Fourier transform.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

The concept of vector-valued multiresolution analysis on local field of positive characteristic was considered byAbdullah [Vector-valued multiresolution analysis on local fields of positive characteristic, Analysis. 34(2014) 415-428]. We construct the associated wavelet packets for such an MRA and investigate their properties by virtue of the Fourier transform. Moreover, it is shown how to obtain several new bases of the spaceby constructing a series of subspaces of these vector-valued wavelet packets.

【 授权许可】

Unknown