Jaume de Dios Pont

collaborators

4 papers

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…

math.CA2026

Almost-Orthogonality in Lp Spaces: A Case Study with Grok

Ziang Chen, Jaume de Dios Pont, Paata Ivanisvili +2

Carbery proposed the following sharpened form of triangle inequality for many functions: for any $p \geq 2$ and any finite sequence $(f_{j})_{j} \subset L^{p}$ we have \[ \Big\|\sum_j f_j\B…

math.CA2023

Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency

Jaume de Dios Pont, Helge Jørgen Samuelsen

In this paper we prove a uniform Fourier restriction estimate over the class of simple curves where the last coordinate function can be extended to a holomorphic function of bounde…