2006
DOI: 10.1142/s0219691306001439
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Characterization of Image Space of a Wavelet Transform

Abstract: In this paper, Journe wavelet function is introduced as a wavelet generating function. The expression of reproducing kernel function for the image space of this wavelet transform is obtained based on the fact that the image space of the wavelet transform is a reproducing kernel Hilbert space. Then the isometric identity of Journe wavelet transform is obtained. The connections between the image space of the wavelet transform and the image space of the known reproducing kernel space are established by the theori… Show more

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Cited by 7 publications
(2 citation statements)
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“…The condition is the same as the image space of Gauss wavelet transform in Ref. 13 when k = 1, and the results are clearly established.…”
Section: Proof the Above Equation Can Be Written Asmentioning
confidence: 82%
See 1 more Smart Citation
“…The condition is the same as the image space of Gauss wavelet transform in Ref. 13 when k = 1, and the results are clearly established.…”
Section: Proof the Above Equation Can Be Written Asmentioning
confidence: 82%
“…The results of Ref. 13 have been popularized. Thus, the relationship between the image space of wavelet transform and the reproducing kernel space according to the theoretical framework of this paper will be taken more in-depth research and more satisfactory results.…”
Section: Image Space Of One Type Of Continuous Wavelet Transformmentioning
confidence: 99%