Global approximation of CR functions on Bloom-Graham model graphs in $\mathbb {C}^n$
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- by Albert Boggess and Daniel Jupiter PDF
- Proc. Amer. Math. Soc. 134 (2006), 723-730 Request permission
Abstract:
We define a class of generic CR submanifolds of $\mathbb {C}^n$ of real codimension $d$, $1\leq d\leq n$, called the Bloom-Graham model graphs, whose graphing functions are partially decoupled in their dependence on the variables in the real directions. We prove a global version of the Baouendi-Treves CR approximation theorem for Bloom-Graham model graphs with a polynomial growth assumption on their graphing functions.References
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Additional Information
- Albert Boggess
- Affiliation: Department of Mathematics, Texas A & M University, College Station, Texas 77843-3368
- Email: boggess@math.tamu.edu
- Daniel Jupiter
- Affiliation: Department of Mathematics, Texas A & M University, College Station, Texas 77843-3368
- Email: jupiter@math.tamu.edu
- Received by editor(s): October 4, 2004
- Published electronically: August 29, 2005
- Communicated by: Mei-Chi Shaw
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 723-730
- MSC (2000): Primary 32V10, 32V99, 30E10
- DOI: https://doi.org/10.1090/S0002-9939-05-08227-4
- MathSciNet review: 2180890