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Abstract: By theorems of Ferguson and Lacey (d=2) and Lacey and Terwilleger (d>2), Nehari's theorem is known to hold on the polydisc D^d for d>1, i.e., if H_\psi is a bounded Hankel form on H^2(D^d) w...
A uniqueness theorem for bounded analytic functions on the polydisc
uniqueness theorem bounded analytic functions polydisc
2011/2/21
For each n,N ≥ 1 let IN(Dn) denote the set of rational inner functions on Dn of degree strictly less than N. We construct a set of points 1, ..., Nn ∈ Dn with the following property: if f ∈ IN(Dn) a...