Wavelet Estimation of the Density Functions Under Fourier-oscillating Situation

In this paper, a wavelet method was used to deal with the density deconvolution problems under Fourier-oscillating situation. Wavelet estimators of the density function were constructed and upper bound over Besov space $\begin{array}{c}{B}_{\mathit{rq}}^s\end{array}$ ( L) was provided. Result shows that the estimator is adaptive and extends the theorems of paper 4,6.