Extension des fonctions plurisousharmoniques a travers de “petits" sous-ensembles | Zendy

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Extension des fonctions plurisousharmoniques a travers de “petits" sous-ensembles

Author(s) -

Jamel Abidi

Publication year - 2010

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1002123j

Subject(s) - continuation , extension (predicate logic) , mathematics , a priori and a posteriori , meaning (existential) , zero (linguistics) , combinatorics , computer science , philosophy , epistemology , linguistics , programming language

We extend, in many variables, results established by Cegrell (2) on the continuation of the plurisubharmonic functions defined outside closed subsets, of open sets of C n , having zero Ronkin (8) gamma capacity. This will be achieved by the continuation of some plurisubharmonic functions, having on "a priori" growth, through some thin (meaning to be precised) closed subsets of C n (n 1).

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