2 papers
math.CV2008
Kergin Approximation in Banach Spaces
Scott Simon
We explore the convergence of Kergin interpolation polynomials of holomorphic functions in Banach spaces, which need not be of bounded type. We also investigate a case where the Ke…
math.CV2005
A Dolbeault Isomorphism Theorem in Infinite Dimensions
Scott Simon
For a large class of separable Banach spaces, we prove the real analytic Dolbeault Isomorphism Theorem for open subsets.