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Interpolation by periods in planar domain
[article]
2015
arXiv
pre-print
Let Ω⊂ R^2 be a countably connected domain. To any closed differential form of degree 1 in Ω with components in L^2(Ω) one associates the sequence of its periods around holes in Ω, that is around bounded connected components of R^2∖Ω. For which Ω the collection of such period sequences coincides with ℓ^2? We give the answer in terms of metric properties of holes in Ω.
arXiv:1511.07015v1
fatcat:koorfaswknbojjmupzax2couka