### Abstract

Suppose M is a submanifold of C with real codimension at least one. A geometric description is given ofthe local hull of holomorphy of an open subset of M which contains a point of higher type in which all Hormandernumbers are the same. This result is proved as a consequence of examining the relationship between the hypoanalytic wave front sets of CR functions on M and CR extension to a manifold of one higher dimension than M.

Original language | English (US) |
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Pages (from-to) | 847-855 |

Number of pages | 9 |

Journal | Proceedings of the American Mathematical Society |

Volume | 103 |

Issue number | 3 |

DOIs | |

State | Published - 1988 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**The holomorphic extension of cr functions near a point of higher type.** / Boggess, Albert.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - The holomorphic extension of cr functions near a point of higher type

AU - Boggess, Albert

PY - 1988

Y1 - 1988

N2 - Suppose M is a submanifold of C with real codimension at least one. A geometric description is given ofthe local hull of holomorphy of an open subset of M which contains a point of higher type in which all Hormandernumbers are the same. This result is proved as a consequence of examining the relationship between the hypoanalytic wave front sets of CR functions on M and CR extension to a manifold of one higher dimension than M.

AB - Suppose M is a submanifold of C with real codimension at least one. A geometric description is given ofthe local hull of holomorphy of an open subset of M which contains a point of higher type in which all Hormandernumbers are the same. This result is proved as a consequence of examining the relationship between the hypoanalytic wave front sets of CR functions on M and CR extension to a manifold of one higher dimension than M.

UR - http://www.scopus.com/inward/record.url?scp=0007465884&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0007465884&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1988-0947669-5

DO - 10.1090/S0002-9939-1988-0947669-5

M3 - Article

AN - SCOPUS:0007465884

VL - 103

SP - 847

EP - 855

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -