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- W4289147306 abstract "We prove that a real-valued function (that is not assumed to be continuous) on a real analytic manifold is analytic whenever all its restrictions to analytic submanifolds homeomorphic to the 2-sphere are analytic. This is a real analog for the classical theorem of Hartogs that a function on a complex manifold is complex analytic iff it is complex analytic when restricted to any complex curve." @default.
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- W4289147306 date "2018-12-03" @default.
- W4289147306 modified "2023-10-14" @default.
- W4289147306 title "Checking real analyticity on surfaces" @default.
- W4289147306 doi "https://doi.org/10.48550/arxiv.1812.00806" @default.
- W4289147306 hasPublicationYear "2018" @default.
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