MRA Frame Wavelets with Certain Regularities Associated with the Refinable Generators of Shift Invariant Spaces
Publication Date
January 2005
Abstract
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.
Disciplines
Applied Mathematics | Mathematics
Recommended Citation
He, Tian-Xiao, "MRA Frame Wavelets with Certain Regularities Associated with the Refinable Generators of Shift Invariant Spaces" (2005). Scholarship. 57.
https://digitalcommons.iwu.edu/math_scholarship/57