2 papers
math.NA2026
PhaseJumps: fast computation of zeros from planar grid samples
Antti Haimi, Günther Koliander, José Luis Romero
We consider complex-valued functions on the complex plane and the task of computing their zeros from samples taken along a finite grid. We introduce PhaseJumps, an algorithm based…
math.FA2024
Sampling in the shift-invariant space generated by the bivariate Gaussian function
José Luis Romero, Alexander Ulanovskii, Ilya Zlotnikov
We study the space spanned by the integer shifts of a bivariate Gaussian function and the problem of reconstructing any function in that space from samples scattered across the pla…