Jaume de Dios Pont

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20202026

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4 papers · 1 filter

math.FA2026

Cantor measures with odd base do not admit Fourier frames

Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor

We prove that the Cantor measure with base $b$ does not admit a Fourier frame whenever $b > 1$ is an odd integer. In particular, this answers a question of Strichartz on the existe…

math.FA2026

Stable Phase Retrieval for Spans of Independent Random Variables

Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos +1

We prove that, after $L^{2}$ normalization, stable phase retrieval holds over the $L^{2}$ -spans of independent real-valued centered random variables if and only if all but possibly one…

math.FA2026

On the existence problem of regular Gabor frames

Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor

For every dimension $d > 1$ , we establish explicit criteria on lattices $Λ \subset R^{2 d}$ with density $D (Λ) > 1$ such that no function with a continuous Zak transform gen…

math.FA2026

$L^{2}$ -Stability for STFT phase retrieval

Susanna Bertolini, Jaume de Dios Pont, Ben Pineau +2

We prove that the short-time Fourier transform with Gaussian window performs $L^{2}$ -local stable phase retrieval at the constant function. The proof involved significant interplay b…

Cantor measures with odd base do not admit Fourier frames

Stable Phase Retrieval for Spans of Independent Random Variables

On the existence problem of regular Gabor frames

L2-Stability for STFT phase retrieval

$L^{2}$ -Stability for STFT phase retrieval