Pointwise Convergence Of Wavelet Explansions

In this paper,we mainly studide pointwise convergence of wavelet expansions.This paper was consist of two parts. In the first part of this paper,we mainly studied when a function satisfied some conditions,it's multiresolution expansion convergence al-most everywhere in frequency space. In the second part of this paper,we mainly studied pointwise convergence of Gabor series and Gabor derivative series.