Let a, b, c ∈ ℂ^2 be three non-collinear points such that their mutual joining complex lines do not intersect the unit ball B^2 and such that the line through a and b is tangent to B^2. Then the set of lines concurrent to a, b or c is a testing family for continuous functions on S^3. This improves a result by the authors and solves a case left open in the literature as described by Globevnik.
Testing families of analytic discs in the unit ball of ℂ2
Baracco L.;Pinton S.
2023-01-01
Abstract
Let a, b, c ∈ ℂ^2 be three non-collinear points such that their mutual joining complex lines do not intersect the unit ball B^2 and such that the line through a and b is tangent to B^2. Then the set of lines concurrent to a, b or c is a testing family for continuous functions on S^3. This improves a result by the authors and solves a case left open in the literature as described by Globevnik.File in questo prodotto:
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