A new proof of both analytic and hypoellipticity of Kohn's operator is given using FBI techniques introduced by J. Sjöstrand. The same proof allows us to obtain both kind of hypoellipticity at the same time.
Cite this article
Gregorio Chinni, A proof of hypoellipticity for Kohn’s operator via FBI. Rev. Mat. Iberoam. 27 (2011), no. 2, pp. 585–604DOI 10.4171/RMI/647