A. Caragea

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math.FA2026

Tilings, packings, and the existence of Schwartz-class Gabor windows

Andrei Caragea, Mihail N. Kolountzakis, Götz Pfander

The existence and construction of Schwartz-class windows for lattice Gabor frames is a central problem in time--frequency analysis. For general time--frequency lattices, we charact…

math.FA2025

Principal minors of Fourier matrices of square-free order

Andrei Caragea, Dae Gwan Lee, Romanos Malikiosis +1

Chebotarev's theorem on roots of unity states that all minors of a Fourier matrix are non-zero if and only if the order of the matrix is prime. We establish cases in which all prin…

math.FA2025

On the principal minors of Fourier matrices

Andrei Caragea, Dae Gwan Lee

For the $N$ -dimensional Fourier matrix $F_{N}$ , we prove that if $N \geq 4$ is square-free, then every $2 \times 2$ and $3 \times 3$ principal minor of $F_{N}$ is non…