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Session III.2 - Approximation Theory

Tuesday, June 20, 15:00 ~ 15:30

Polynomial approximation on spaces of homogeneous type

Yuan Xu

University of Oregon, United States   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We discuss several results on the polynomial approximation for conic surfaces and solid cones in Euclidean space equipped with the Jacobi weight function. The results will be presented as an example of a general framework for a family of regular domains. The main tools are highly localized kernels constructed via orthogonal polynomials and a spectral operator.

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