Volume 34, Issue 2
On Characterization of Nonuniform Tight Wavelet Frames on Local Fields

Owais Ahmad and Neyaz A. Sheikh

10.4208/ata.2018.v34.n2.4

Anal. Theory Appl., 34 (2018), pp. 135-146.

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  • 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.

  • History

Published online: 2018-07

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