Year: 2018
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 2 : pp. 135–146
Abstract
In this article, we introduce a notion of nonuniform wavelet frames on local fields of positive characteristic. Furthermore, we gave a complete characterization of tight nonuniform wavelet frames on local fields of positive characteristic via Fourier transform. Our results also hold for the Cantor dyadic group and the Vilenkin groups as they are local fields of positive characteristic.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2018.v34.n2.4
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 2 : pp. 135–146
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Nonuniform wavelet frame tight wavelet frame Fourier transform local field.