Classes de Nevanlinna dans certains domaines strictement pseudoconvexes non lisses |
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Institution: | Mathematisches Institut der Universität Bonn, Beringstraβe 6, 531l5 Bonn, Allemagne;Monash University, Australia |
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Abstract: | We define Nevanlinna classes in strictly pseudoconvex domains that are not necessarily smooth. If the boundary is defined by a Morse function we give sufficient conditions of Blaschke type for an analytic set to be the zero set of a function in a given Nevanlinna class. In particular, in the case of a smooth boundary we obtain new and rather explicit proofs of the theorems of Henkin-Skoda and Dautov-Henkin. |
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