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	Volume 2, Issue 3 Pg 209 - 291 (December 2008)
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Current Development in Theory and Applications of Wavelets

is a scaling function of

in view of support of Fourier transform for

Furthermore, suppose

is an orthonormal wavelet of

and the whole support of its Fourier transform is

Under the weakest condition that each is continuous for we obtain results on the above whole support of which are characterized by some equalities and inequalities. We have improved completely Long’s results and generalized Zhang’s results.

Current Development in Theory and Applications of Wavelets
Volume 2, Issue 3, Pages 253 - 276 (December 2008)

THE CHARACTERIZATION OF COMPACT SUPPORT OF FOURIER TRANSFORM FOR SCALING FUNCTION AND ORTHONORMAL WAVELETS OF
Chongmin Lei (P. R. China), Yongdong Huang (P. R. China) and Zhengxing Cheng (P. R. China)