Multiresolution Analysis on Sobolev Space over Local Fields of Positive Characteristic and Characterization of Scaling Function

Author(s):

Ashish Pathak* , Dileep Kumar

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

A general concept of wavelets and multiresolution analysis on Sobolev space over local fields of positive characteristic (Hs(K)) is given. A characterization of the scaling functions associated with an MRA is also given.

Keywords:

Wavelets , Multiresolution analysis , Local fields , Sobolev space , Fourier transform

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:19 Issue: 1, May 2024
Pages:
161 to 174
https://magiran.com/p2711619