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math.CV2026
Polynomial Counterexamples to Shanks' Conjecture in Dirichlet-Type Spaces over the Bidisc
Oliver Navío, Daniel Seco
We study optimal polynomial approximants in spaces of Dirichlet-type over the bidisc. Given a nonzero function f, the linear optimal polynomial approximant (opa) to its reciprocal…
math.CV2026
Uniqueness sets for functions of Dirichlet-type with restricted Taylor coefficients
Nazar Miheisi, Daniel Seco
Let be a reproducing kernel Hilbert space over the unit disk , where analytic monomials span a dense subset. Given and $Λ\subset…