%0 Journal Article
%T Adaptive Rational Approximation in Bergman Space on Bounded Symmetric Domain
%A Wu, H.T.
%A Leong, I. T.
%A Qian, T
%K Bergman Space
%K Bergman Kernel
%K Reproducing Kernel Hilbert Space
%K Pre-Orthogonal Adaptive Fourier Decomposition (POAFD)
%K Generalized Kernel Functions
%K Boundary Vanishing Property
%K Maximum Selection Principle
%X We generalize the pre-orthogonal adaptive Fourier approximation developed by T. Qian et al [11], [9], [5] to functions in the Bergman space on the unit disc and the unit ball $B$ to the Bergman space $A^2(\cD)$ on the irreducible bounded symmetric domain $\cD.$ We show that satisfies the boundary vanishing property, so that the maximum selection principle allows us to give an adaptive expansion of any function $f$ in terms of linear combinations of generalized kernel functions in an optimal way.
%8 2021-08-17
%D 2021
%J Journal of Mathematical Analysis and Applications
%P 1-24
%@ 0022-247X
%U https://repository.um.edu.mo/handle/10692/113057
%W UM