CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

CR Extension from Manifolds of Higher Type

  Published:2008-12-01
 Printed: Dec 2008
  • Luca Baracco
  • Giuseppe Zampieri
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

This paper deals with the extension of CR functions from a manifold $M\subset \mathbb C^n$ into directions produced by higher order commutators of holomorphic and antiholomorphic vector fields. It uses the theory of complex ``sectors'' attached to real submanifolds introduced in recent joint work of the authors with D. Zaitsev. In addition, it develops a new technique of approximation of sectors by smooth discs.
MSC Classifications: 32V25, 32V35, 32C16, 32F18 show english descriptions Extension of functions and other analytic objects from CR manifolds
Finite type conditions on CR manifolds
unknown classification 32C16
Finite-type conditions
32V25 - Extension of functions and other analytic objects from CR manifolds
32V35 - Finite type conditions on CR manifolds
32C16 - unknown classification 32C16
32F18 - Finite-type conditions
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/