On the vanishing rate of smooth CR functions

Let 𝑀 be a lineally convex hypersurface of ℂⁿ of finite type, 0∈𝕄. Then there exist non-trivial smooth CR functions on 𝕄 that are flat at 0, i.e. whose Taylor expansion about 0 vanishes identically. Our aim is to characterize the rate at which flat CR functions can de...

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Bibliographic Details
Main Authors: Giuseppe Della Sala, Bernhard Lamel
Format: Article
Language:English
Published: American Mathematical Society 2014-01-01
Series:Proceedings of the American Mathematical Society, Series B
Subjects:
Online Access:http://www.ams.org/bproc/2014-01-03/S2330-1511-2014-00007-9/