3 papers
math.FA2025
Paley-Wiener Theorem for Probabilistic Frames
Dongwei Chen
This paper establishes Paley-Wiener perturbation theorems for probabilistic frames. The classical Paley-Wiener perturbation theorem shows that if a sequence is close to a basis in…
math.OC2025
A note on the c-monotonicity in optimal transport with capacity constraints
Dongwei Chen
This paper studies the geometry of the optimizer for the optimal transport problem with capacity constraints. We introduce the concept of c-capacity monotonicity, which is a genera…
math.PR2025
Probabilistic frames and Wasserstein distances
Dongwei Chen, Martin Schmoll
We use Wasserstein distances to characterize and study probabilistic frames. Adapting results from Olkin and Pukelsheim, from Gelbrich and from Cuesta-Albertos, Matran-Bea and Tuer…