Analysis Seminar

Speaker: Debraj Chakrabarti (Western)

"Non-extendable CR functions on singular hypersurfaces"

Time: 15:00

Room: MC 108

We give an example of a hypersurface in C² which is minimal (i.e. contains no complex hypersurface) and on which for each k ≥ 0 there is a \mathcal{C}^k CR function which does not extend to either side, and such that every mathcal{C}^\infty CR function extends to a fixed neighborhood of the singularity.