On some properties of a differential operator on the polydisk.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Displaying similar documents to “The -problem and holomorphic dynamics.”
On some properties of a differential operator on the polydisk.
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CONTENTS§1. Introduction.................................................................................................................5§2. Basic properties of δ-tempered holomorphic functions...............................................8§3. Holomorphic continuation and holomorphic retractions.............................................20§4. Continuation from regular neighbourhoods...............................................................32§5. Continuation from δ-regular submanifolds;...
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We study a linearization of a real-analytic plane map in the neighborhood of its fixed point of holomorphic type. We prove a generalization of the classical Koenig theorem. To do that, we use the well known results concerning the local dynamics of holomorphic mappings in ℂ².