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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 with a continuous, integrable totally positive function and lattice parameters $α…
math.NA2026
Quantitative Constraints for Stable Sampling on the Sphere
Martin Ehler, Karlheinz Gröchenig
We derive quantitative volume constraints for sampling measures on the unit sphere that satisfy Marcinkiewicz-Zygmund inequalities of order . Using precise…