A KAM phenomenon for singular holomorphic vector fields

Laurent Stolovitch

Displaying similar documents to “A KAM phenomenon for singular holomorphic vector fields”

An expansion theorem for nonanalytic functions in several complex variables.

Mario O. González (1973)

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The exceptional sets for functions from the Bergman space

Jakóbczak, Piotr (1993)

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Behavior of holomorphic functions in complex tangential directions in a domain of finite type in C.

Sandrine Grellier (1992)

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Let Ω be a domain in C. It is known that a holomorphic function on Ω behaves better in complex tangential directions. When Ω is of finite type, the best possible improvement is quantified at each point by the distance to the boundary in the complex tangential directions (see the papers on the geometry of finite type domains of Catlin, Nagel-Stein and Wainger for precise definition). We show that this improvement is characteristic: for a holomorphic function, a regularity in complex tangential...