EXPRESSING WAVELET TRANSFORM WITH REPRODUCING KERNEL

In this paper, the wavelet transform of a modulation Gaussian function is introduced. In virtue of the special technique of reproducing kernel function, the isometric identity and the structure of the image space of the wavelet transform are obtained. Meanwhile the sampling theorem of the wavelet transform is given. Consequently, wavelet transform can be represented by reproducing kernel function. This provides the theoretical foundation for further exploitation about the image space of general wavelet transform.