  Wavelet frames have become a useful tool in time freqency analysis and image
processing. Many authors worked in the field of wavelet frames and obtained
various necessary and sufficient conditions. Ron and Shen [17] gave a
charactarization of wavelet frames. Benedetto and Treiber [3], Ron and Shen
[17] presented different presentations to the wavelet frames. Any function $f
\in L^2(R)$ can be expanded as an orthonormal wavelet series and pointwise
convergence and uniform convergence of series have been discussed extensively
by various authors [9, 17]. In this paper we investigate the pointwise
convergence of orthogonal wavelet series in Pringscheim's sense. Furthermore,
we investigate Cesaro $|C,1,1|$ summability and the strong Cesaro $|C,1,1|$
summability of wavelet series.
