Open AccessDualwavelet frames in Sobolev spaces on local fields of positive characteristic
Author(s) -
Ishtaq Ahmad,
Neyaz Ahmad
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2006091a
Subject(s) - mathematics , sobolev space , wavelet , sobolev inequality , field (mathematics) , pure mathematics , characterization (materials science) , popularity , mathematical analysis , dual (grammatical number) , artificial intelligence , computer science , psychology , social psychology , art , materials science , literature , nanotechnology
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. In this article, we obtain the characterization of nonhomogeneous wavelet frames and nonhomogeneous dual wavelet frames in a Sobolev spaces on a local field of positive characteristic by means of a pair of equations.