Mitchell A. Taylor

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math.CA2026

Universal completeness of exponentials

Susanna Bertolini, Enric Florit-Simon, Lukas Liehr +1

We consider generalizations of the classical Fourier uniqueness theorem. First, we construct a family of uniformly discrete sets $Λ \subset R$ , of uniform density one, such…

math.CA2026

Derivatives of Theta Functions and a Problem of Lyubarskii and Nes

Lukas Liehr, Irina Shafkulovska, Mitchell A. Taylor

We characterize all lattices $Λ \subset R^{2}$ of rational density for which the Gabor system generated by the first Hermite function along $Λ$ is a frame for $L^2(\mathbb{R}…