L^2(R)上的S-进小波变换

S-ADIC WAVELET TRANSFORM ON L^2(R)

通过引入R上的尺度参数S -进离散的仿射子群R+s ×R ,并给出该群上的左不变测度 ,给出了L2 (R)上S -进小波变换的允许条件 ,及S -进小波的对偶小波。

This paper introduces an affine subgroup with its scale parameter being s-adic discreted,and provides the subgroup with a left invariant measure to derive the admissible condition on s-adic wavelet transform.The dual wavelet is provided.