Published January 1, 2020 | Version v1
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Holomorphic extension of meromorphic mappings along real analytic hypersurfaces

Creators

  • 1. Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey

Description

Let M subset of C-n be a real analytic hypersurface, M' subset of C-N (N >= n) be a strongly pseudoconvex real algebraic hypersurface of the special form, and F be a meromorphic mapping in a neighborhood of a point p is an element of M which is holomorphic in one side of M. Assuming some additional conditions for the mapping F on the hypersurface M, we proved that F has a holomorphic extension to p. This result may be used to show the regularity of CR mappings between real hypersurfaces of different dimensions.

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