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math.CV2026
Metric projections, zeros of optimal polynomial approximants, and some extremal problems in Hardy spaces
Catherine Bénéteau, Raymond Cheng, Christopher Felder +3
The well-known proof of Beurling's Theorem in the Hardy space , which describes all shift-invariant subspaces, rests on calculating the orthogonal projection of the unit const…
math.CV2024
A counterexample to the weak Shanks conjecture
Catherine Bénéteau, Dmitry Khavinson, Daniel Seco
We give an example of a function non-vanishing in the closed bidisk and the affine polynomial minimizing the norm of in the Hardy space of the bidisk among all affine po…