supported by the National Basic Research Program of China (Grant No. 1999075105);the National Natural Science Foundation of China (Grant No. 10471002);Research Foundation for Doctoral Programm (Grant No. 20050574002)
The Paley-Wiener theorem in the non-commutative and non-associative octonion analytic function space is proved.
the National Natural Science Foundation of China(Grant No.10471002);the Major State Basic Research Development Program of China(Grant No.20060001010)
This paper proposes a method to realize the lifting scheme of tight frame wavelet filters. As for 4-channel tight frame wavelet filter, the tight frame transforms' matrix is 2×4, but the lifting scheme transforms' ...
supported by the National Natural Science Foundation of China(Grant Nos.90104004 and 10471002);the 973 Project of China(Grant Nos.G1999075105);the Natural Science Foundation of Guangdong Province(Grant Nos.032038,05008289);the Doctoral Foundation of Guangdong Province(Grant No.04300917).
The concept of paraunitary two-scale similarity transform (PTST) is introduced. We discuss the property of PTST, and prove that PTST preserves the orthogonal, approximation order and smoothness of the given orthogon...