L^2(R^n)上连续小波变换及小波框架算子的一些性质

Some Properties of Continuous Wavelet Transform and Wavelet Frame Opertator on L^2(R^n)

考察了L2 (Rn)上连续小波变换及小波框架算子 ,得到了它们的一些性质 ,并给出了严格证明 ,弥补了有关文献的不足 .

The continuous wavelet transformation and wavelet frame operator of L 2(R n) space are investigated from the functional analysis point of view. Some main properties of continuous wavelet transform and wavelet frame operator of L 2(R n) space are obtained with strict mathematical proof,which remedy some relevant defects of the references.