id: 05524075
dt: j
an: 05524075
au: Qu, Yuling; Deng, Caixia; Gu, Lijuan
ti: Characterization of image space of Journe wavelet transform.
so: Numer. Math., Nanjing 30, No. 2, 133-140 (2008).
py: 2008
pu: Nanjing University, Department of Mathematics, Nanjing
la: ZH
cc: 
ut: wavelet transform; image space; reproducing kernel
ci: 
li: 
ab: Summary: In this paper, the expression of the reproducing kernel function
    in the image space of the Journe wavelet transform is shown based on
    the fact that the image space of the wavelet transform is a reproducing
    kernel Hilbert space. The connections between the image space of Journe
    wavelet transform and the image space of the known reproducing kernel
    space are established by the theories of reproducing kernel. The
    properties and the structures of the image space of the Journe wavelet
    transform can be characterized by the properties and the structures of
    the image space of the known reproducing kernel space. By the ideas of
    reproducing kernel we can try to consider the relations among the
    wavelet transform and sampling theorem. It will be an elementary
    attempt for us to discuss the issues of wavelet analysis by theories of
    reproducing kernel. This provides theoretic basis for us to study the
    image space of the general wavelet transform and it develops the
    applied fields of theories of the reproducing kernel space.
rv: