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math.FA2026
Riesz sequences near the critical density
Marcin Bownik, Jordy Timo van Velthoven
We construct Riesz sequences whose Beurling density is arbitrary close to the critical density in the setting of reproducing kernel Hilbert spaces on metric measure spaces. In part…
math.FA2026
Uniform discretization of continuous frames
Marcin Bownik, Pu-Ting Yu
Let be an infinite-dimensional separable Hilbert space and let be a metric measure space satisfying the doubling and upper Alhfors regularity conditions at small scal…