A uniqueness property for analytic functions on metric measure spaces

Łysik, Grzegorz

doi:10.1090/proc/14885

A uniqueness property for analytic functions on metric measure spaces
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Proc. Amer. Math. Soc. 148 (2020), 1679-1688 Request permission

Abstract:

After recalling the notion of analytic functions on metric measure spaces we prove that those functions possess the following uniqueness property: if a function vanishes on a non-empty open subset of a connected set, then it vanishes on the set.

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