##### 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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