Interpolation by periods in planar domain
Dubashinskiy, Mikhail
Original · EN
Let Ω² be a countably connected domain. To any closed differential form of degree 1 in Ω with components in L²(Ω) one associates the sequence of its periods around holes in Ω, that is around bounded connected components of R² Ω. For which Ω the collection of such period sequences coincides with ℓ²? We give the answer in terms of metric properties of holes in Ω.
English translation
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