$p$-Adic multiresolution analysis and wavelet frames
Classical Analysis and ODEs
2008-02-11 v1
Abstract
We study -adic multiresolution analyses (MRAs). A complete characterisation of test functions generating MRAs (scaling functions) is given. We prove that only 1-periodic test functions may be taken as orthogonal scaling functions. We also suggest a method for the construction of wavelet functions and prove that any wavelet function generates a -adic wavelet frame.
Keywords
Cite
@article{arxiv.0802.1079,
title = {$p$-Adic multiresolution analysis and wavelet frames},
author = {S. Albeverio and S. Evdokimov and M. Skopina},
journal= {arXiv preprint arXiv:0802.1079},
year = {2008}
}
Comments
16 pages