173 citations
- University of Illinois Urbana-ChampaignUS13 papers
- Texas A&M UniversityUS10 papers
- Fermi National Accelerator LaboratoryUS9 papers
- Michigan State UniversityUS9 papers
- University of FloridaUS9 papers
- University of PennsylvaniaUS9 papers
- University of RochesterUS9 papers
- Argonne National LaboratoryUS8 papers
- Baylor UniversityUS8 papers
- Brandeis UniversityUS8 papers
- Carnegie Mellon UniversityUS8 papers
- Centre National de la Recherche ScientifiqueFR8 papers
4 papers · 1 filter
Analytic continuation from a family of lines
Alexander Tumanov
Given a function f in the exterior of a convex curve in the real plane, we prove that if the restrictions of f to the tangent lines to the curve extend as entire functions, then th…
Filling real hypersurfaces by pseudoholomorphic discs
Alexandre Sukhov, Alexander Tumanov
We study pseudoholomorphic discs with boundaries attached to a real hypersurface in an almost complex manifold. We give sufficient conditions for filling a one sided neighborhood o…
A Morera type theorem in the strip
Alexander Tumanov
We prove the following result. Let f be a continuous function in the closed infinite strip in complex plane. Suppose the restriction of f to every circle inscribed in the strip ext…
On the regularity of CR mappings in higher codimension
Alexander Tumanov
We give a proof of the regularity of Holder CR homeomorphisms of strictly pseudo convex CR manifolds of higher codimension.