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CR Extension from Manifolds of Higher Type

Published online by Cambridge University Press:  20 November 2018

Luca Baracco  and
Giuseppe Zampieri
Luca Baracco
Affiliation:
Dipartimento di Matematica, Università di Padova, 35131 Padova, Italy e-mail:baracco@math.unipd.it, zampieri@math.unipd.it
Giuseppe Zampieri
Affiliation:
Dipartimento di Matematica, Università di Padova, 35131 Padova, Italy e-mail:baracco@math.unipd.it, zampieri@math.unipd.it
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Abstract

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This paper deals with the extension of $\text{CR}$ 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.

Keywords

Primary: 32V25secondary: 32V3532C1632F18
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 60 , Issue 6 , 01 December 2008 , pp. 1219 - 1239
Copyright
Copyright © Canadian Mathematical Society 2008

References

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