# Analysis Seminar – Pat Collins

When:
February 9, 2016 @ 3:30 pm – 4:30 pm
2016-02-09T15:30:00-10:00
2016-02-09T16:30:00-10:00
Where:
Kelller 401

Speaker: Pat Collins, UH-Manoa
Title: Approximating with Symmetric Positive Definite Reproducing Kernels
Abstract: Symmetric positive definite kernels arise naturally as the reproducing kernels of Hilbert spaces, including certain Sobolev spaces of the form $W_{2}^{m}(Omega)$. We explore the connection between reproducing kernels and symmetric positive definite kernels, and show that the corresponding Hilbert spaces contain unique norm-minimizing solutions to interpolation problems.