Integral wavelet transform in L~2 (R~d) and its reconstruction formulas
YU Bao-min · Basic Sciences Journal of Textile Universities · 2011
The integral wavelet transform in L2(Rd) is studied.By using operator and integral theory,the bound-edness and continuity of integral wavelet transformation of an L2(Rd) function are discussed,the isometric property of integral wavelet transform is proved,and the reconstruction formulas in the strong topology and in the weak topology are established,respectively.