1Department of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India
2Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, 31621, Saudi Arabia
3Department of Mathematics, National Institute of Technology, Srinagar-190 006, Jammu and KashmirIndia
*Author for Correspondence. E-mail: fashah_jmi@yahoo.co.in, fashah79@gmail.com
In this paper, we study the convergence of non-orthogonal wavelet expansions associated with dilation matrix in the Lp(ℝd) norm, 1 ≤ p < ∞ Moreover, the results of Zayed [1] have been extended using the approximate identity but the present method and approach are different from those adopted by Zayed [1].
42C15, 42C05, Approximation identity, Dilation matrix, Non-orthogonal wavelet, Multiresolution analysis, Wavelet expansions, Reproducing kernel
