International Journal of Mathematics and Mathematical Sciences (Jan 2004)

Infinite matrices, wavelet coefficients and frames

  • N. A. Sheikh,
  • M. Mursaleen

DOI
https://doi.org/10.1155/S0161171204312457
Journal volume & issue
Vol. 2004, no. 67
pp. 3695 – 3702

Abstract

Read online

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.