Approximation of analytic multifunctions

Slodkowski, Zbigniew

doi:10.1090/S0002-9939-1989-0977924-5

Approximation of analytic multifunctions
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Proc. Amer. Math. Soc. 105 (1989), 387-396 Request permission

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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4

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