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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Approximation of analytic multifunctions


Author: Zbigniew Slodkowski
Journal: Proc. Amer. Math. Soc. 105 (1989), 387-396
MSC: Primary 32F05; Secondary 32E20, 32E30
DOI: https://doi.org/10.1090/S0002-9939-1989-0977924-5
MathSciNet review: 977924
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Abstract: Set-valued generalizations of analytic functions are defined by a form of local maximum principle. It is shown that they are identical with limits of decreasing sequences of multifunctions whose graphs are locally covered by graphs of single-valued analytic mappings.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0977924-5
Keywords: $ q$-pseudoconvex sets, $ q$-plurisubharmonic functions, analytic multifunctions, polynomial hulls
Article copyright: © Copyright 1989 American Mathematical Society