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Department of Mathematics,
University of California San Diego

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Analysis Seminar

Jiri Lebl

Oklahoma State University

Extensions of CR functions in ${\mathbb C}^n \times {\mathbb R}$

Abstract:

This is joint work with Alan Noell and Sivaguru Ravisankar. We prove a Hartogs-Bochner type theorem for a bounded domain $U$ with smooth boundary in ${\mathbb C}^n \times {\mathbb R}$ with nodegenerate, flat, and elliptic CR singularities (all natural conditions for the problem). That is, a CR function on the boundary $\partial U$ extends to a CR function on $U$, smooth up to the boundary.

Host: Peter Ebenfelt

May 19, 2015

2:00 PM

AP&M 7218

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