Analytic regularity of CR maps into spheres Academic Article uri icon

abstract

  • Let M N be a connected real-analytic hypersurface and double-struck S2N-1 N the unit real sphere, N > N 2. Assume that M does not contain any complex-analytic hypersurface of N and that there exists at least one strongly pseudoconvex point on M. We show that any CR map f : M double-struck S2N-1 of class CN-N+1 extends holomorphically to a neighborhood of M in N.

published proceedings

  • Mathematical Research Letters

author list (cited authors)

  • Mir, N.

citation count

  • 6

complete list of authors

  • Mir, Nordine

publication date

  • January 2003