OSU Mathematics Seminars and Colloquia
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Mon, Sep 11, 2017
Analysis Seminar
2:30 PM
MSCS 509
Singular Lewy Extension II
Jiří Lebl, OSU
[Abstract] [PDF]
Abstract: A natural question is when does a function defined on a real submanifold, extend to a holomorphic function on a neighborhood. An answer for hypersurfaces in $\mathbb{C}^n$ is the classical Lewy extension theorem: A CR function extends to a side if the Levi-form has a nonzero eigenvalue. In $\mathbb{C}^n \times \mathbb{R}$, we encounter CR singularities, but still we find a Lewy-extension-like theorem: A CR function extends near a CR singularity if a certain analogue of the Levi-form has at least two eigenvalues of the same sign. Joint work with Alan Noell and Sivaguru Ravisankar.
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