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math.CA2026
Kernel approximation beyond the native space -- with applications to approximation on manifolds
Thomas Hangelbroek, Christian Rieger, Grady B. Wright
This article treats kernel approximation and interpolation on embedded manifolds of using restrictions of positive and conditionally positive definite kernels. The ma…
math.CA2025
Generalized local polynomial reproductions
Thomas Hangelbroek, Christian Rieger, Grady B. Wright
We present a general framework, treating Lipschitz domains in Riemannian manifolds, that provides conditions guaranteeing the existence of norming sets and generalized local polyno…