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5 papers · 1 filter
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…
Weak pseudoconcavity and the maximum modulus principle
C. Denson Hill, Mauro Nacinovich
We discuss the maximum modulus principle, and weak unique continuation, for CR functions on an abstract almost CR manifold M. We investigate these matters under the assumption of w…
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.
Holomorphic DIffeomorphisms of Semisimple Homogeneous Spaces
Arpad Toth, Dror Varolin
The density property for a Stein manifold X implies that the group of holomorphic diffeomorphisms of X is infinite-dimensional and, in a certain well-defined sense, as large as pos…
Interpolation and Sampling Hypersurfaces for the Bargmann-Fock space in higher dimensions
Joaquim Ortega-Cerda, Alexander Schuster, Dror Varolin
We study those smooth complex hypersurfaces W in C^n having the property that all holomorphic functions of finite weighted L^p norm on W extend to entire functions with finite weig…