Open AccessA Characterization of Orthonormal Multilevel Wavelet Families in Sobolev Space over Local Fields of Positive Characteristic
Author(s) -
Ashish Pathak,
Dileep Kumar
Publication year - 2021
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.52.2021.3327
Subject(s) - orthonormal basis , sobolev space , mathematics , characterization (materials science) , wavelet , pure mathematics , space (punctuation) , sobolev inequality , multiresolution analysis , mathematical analysis , wavelet transform , discrete wavelet transform , computer science , artificial intelligence , physics , quantum mechanics , optics , operating system
In this paper, a characterization of orthonormal multilevel wavelet families in Sobolev space over a local fields of positive characteristic (Hs(K)) is established. Finally an example is presented.