Solving the Degenerate Complex Monge-Ampère Equation with One Concentrated Singularity.
Embeddings of three dimensional Cauchy-Riemann manifolds.
A precise result on the boundary regularity of biholomorphic mappings (Erratum).
A Precise Result on the Boundary Regularity of Biholomorphic Mappings.
Algebraic approximation in analytic geometry.
The Cauchy-Riemann equations in infinite dimensions
I will explain basic concepts/problems of complex analysis in infinite dimensions, and survey the few approaches that are available to solve those problems.
La métrique de Kobayashi et la représentation des domaines sur la boule
Approximation of holomorphic functions of infinitely many variables II
Let be a Banach space and the ball of radius centered at . Can any holomorphic function on be approximated by entire functions, uniformly on smaller balls ? We answer this question in the affirmative for a large class of Banach spaces.
Approximation de fonctions holomorphes d'un nombre infini de variables
Soit un espace de Banach complexe, et notons la boule de rayon centrée en . On considère le problème d’approximation suivant: étant donnés , et une fonction holomorphe dans , existe-t-il toujours une fonction , holomorphe dans , telle que sur ? On démontre que c’est bien le cas si est l’espace des suites sommables.
On the group of holomorphic automorphisms of Cn.
Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds.
Analytic sheaves in Banach spaces
Page 1