The properties of Gabor wavelet transform

The expression of the reproducing kernel function and the isometric identities of the image space of Gabor wavelet transform are shown in this paper. By the construction of the reproducing kernel function the authors show that the general and concrete properties of the image space of Gabor wavelet transform based on the image space of the continuous wavelet transform is a reproducing kernel Hilbert space. This provides the theoretic basis for discussing the image space of general wavelet transform.