Title of article :
Perturbation of wavelet frames on non-Archimedean fields
Author/Authors :
Ahmad, Ishtaq Department of Mathematics - Jammu and Kashmir Institute of Mathematical Sciences, Srinagar, India , Ahmad, Neyaz Department of Mathematics - National Institute of Technology, Srinagar, India
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
Journal title :
International Journal of Nonlinear Analysis and Applications
