Analytic regularity of CR-mappings
Meylan, Francine ; Mir, Nordine ; Zaitsev, Dmitri
HAL, hal-00261685 / Harvested from HAL
In this paper we give general conditions that guarantee the analyticity of ${\mathcal C}^\infty$-smooth CR-mappings between real-analytic CR-submanifolds $M\subset\C^N$ and $M'\subset\C^{N'}$. The proof of the analyticity is based on results on holomorphic and meromorphic extension of functions on wedge-like domains to boundary points that may be of independent interest.
Publié le : 2002-01-05
Classification:  holomorphic and meromorphic extension,  CR-mappings,  holomorphic and meromorphic extension.,  2000 AMS : 32C16, 32H02, 32H40, 32V20, 32V25,  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
@article{hal-00261685,
     author = {Meylan, Francine and Mir, Nordine and Zaitsev, Dmitri},
     title = {Analytic regularity of CR-mappings},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00261685}
}
Meylan, Francine; Mir, Nordine; Zaitsev, Dmitri. Analytic regularity of CR-mappings. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00261685/