%0 Journal Article
%T Approximation of reconstruction formula for continuous wavelet and Weyl-Heisenberg frames
%A Ali Akbar Arefijamaal
%A Ghadir Sadeghi
%J Journal of Nonlinear Analysis and Application
%D 2012
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2012/jnaa-00107
%X As for an orthonormal basis, a frame allows each element in the underlying Hilbert space to be written as an unconditionally convergent infinite linear combination of the frame elements. The coefficients are called frame coefficients. Peter G. Casazza and Ole Christensen introduced some methods to approximate frame coefficients. In this article, we investigate some of these results for a continuous frame. As a consequence, approximation of the solution to a moment problem is also discussed. We also apply the results to wavelet frames and Weyl-Heisenberg frames.
%K Frames
%K continuous frame
%K frame operator
%K approximation of the inverse frame operator
%U http://www.ispacs.com/journals/jnaa/2012/jnaa-00107/article.pdf