International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 65-68, Pages 3695-3702
doi:10.1155/S0161171204312457
Infinite matrices, wavelet coefficients and frames
N.A. Sheikh1
and M. Mursaleen2
1Department of Mathematics, National Institute of Technology, Srinagar, Kashmir 190006, Jammu and Kashmir, India
2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, India
Abstract
We study the action of A on f∈L2(ℝ) and on its wavelet coefficients, where A=(almjk)lmjk is a double infinite matrix. We find the frame condition for A-transform of f∈L2(ℝ) whose wavelet series expansion is known.