Jaume de Dios Pont

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math.FA2026

Banach lattices and phase retrieval: A case study for the use of AI in mathematics

Jaume de Dios Pont, Lukas Liehr, David Muñoz-Lahoz +2

The ability of large language models to assist professional mathematicians has been progressing rapidly. Earlier this year, a group of researchers in Banach lattice theory and phas…

math.FA2026

Gabor Frames of Totally Positive Functions: A Complete Characterization

Jaume de Dios Pont, Karlheinz Gröchenig, Lukas Liehr +2

We prove that the set of time-frequency shifts ${e^{2 π i β l t} g (t - α k) : k, l \in Z}$ with a continuous, integrable totally positive function $g$ and lattice parameters $α…