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math.FA2025
Translation--Modulation Identities, Ergodic Log-Products and a Conditional Obstruction for Schwartz Functions
Vignon Oussa
We study very smooth functions on the real line, namely Schwartz functions, that satisfy a finite identity relating their translates and a single modulation. Concretely, we assume…
math.DS2025
Trichotomy for the HRT Conjecture for mixed integer configuration
Vignon Oussa
We consider the HRT conjecture in the mixed-integer setting, where a finite configuration in consists of points in and one point out…