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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...
Existence and uniqueness theorem for convex polyhedral metrics on compact surfaces
uniqueness theorem convex polyhedral metrics compact surfaces
2010/11/19
We state that any constant curvature Riemannian metric with conical singularities of constant sign curvature on a compact (orientable) surface $S$ can be realized as a convex polyhedron in a Riemanni...
A Uniqueness Theorem for Meromorphic Mappings with Two Families of Hyperplanes
Uniqueness Theorem Meromorphic Mappings Families of Hyperplanes
2010/11/9
In this paper, we extend the uniqueness theorem for meromorphic mappings to the case where the family of hyperplanes depends on the meromorphic mapping and where the meromorphic mappings may be degen...
Existence and uniqueness theorem for slant immersions in Kenmotsu space forms
Kenmotsu manifold slant immersion mean curvature sectional curvature
2010/2/25
In this paper we have obtained a general existence as well as uniqueness theorem for slant immersions into a Kenmotsu-space form.