Perturbation of wavelet frames on non-Archimedean fields

Ahmad, Ishtaq; Ahmad, Neyaz

doi:10.22075/ijnaa.2021.21909.2302

Perturbation of wavelet frames on non-Archimedean fields

Document Type : Research Paper

Authors

Ishtaq Ahmad ¹

Neyaz Ahmad ²

¹ Department of Mathematics, Jammu and Kashmir Institute of Mathematical Sciences, Srinagar-190008, India

² Department of Mathematics, National Institute of Technology, Srinagar-190006, India

10.22075/ijnaa.2021.21909.2302

Abstract

The paper deals with two different aspects of wavelet frames. First, we obtain a necessary condition on irregular wavelet frames on local fields of positive characteristic and in the second aspect, we present some results on the perturbation of wavelet frames, when we disturb the mother function of a wavelet frame or dilation parameter. All the results have been carried without the compactness of support neither on generating function nor on its Fourier transform.

Keywords

Wavelet frames

Local fields

Perturbation

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