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Applied Mathematics Commons

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2005

Articles 1 - 2 of 2

Full-Text Articles in Applied Mathematics

If F(X) =∫X2x F(T) Dt Is Constant, Must F(T) = C/T ?, Tian-Xiao He Apr 2005

If F(X) =∫X2x F(T) Dt Is Constant, Must F(T) = C/T ?, Tian-Xiao He

Tian-Xiao He

No abstract provided.


Mra Frame Wavelets With Certain Regularities Associated With The Refinable Generators Of Shift Invariant Spaces, Tian-Xiao He Dec 2004

Mra Frame Wavelets With Certain Regularities Associated With The Refinable Generators Of Shift Invariant Spaces, Tian-Xiao He

Tian-Xiao He

In this paper, we will start the discussion with the refinable generators of the shift invariant (SI) spaces in L2 (R) that possess the largest possible regularities and required vanishing moments. For the pseudo-scaling generators, the corresponding MRA frame wavelets with certain regularities are constructed. In addition, the stability of the refinable SI spaces and the corresponding complementary spaces, biorthogonality of the SI spaces, and the approximation property of the spaces are also discussed.