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math.CA2026
Uniqueness sets in weighted -spaces via simultaneous approximation
Linus Bergqvist, Adem Limani, Bartosz Malman
We consider a family of uniqueness problems in the setting of weighted Fourier spaces on the unit-circle, from the perspective of simultaneous approximation. We develop a…
math.CA2024
Distributing mass under a pointwise bound and an application to weighted polynomial approximation
Linus Bergqvist, Bartosz Malman
Inspired by applications in weighted polynomial approximation problems, we study an optimal mass distribution problem. Given a gauge function and a positive "roof" function …