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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 sca…
math.FA2025
Frame redundancy and Beurling density
Marcin Bownik, Jordy Timo van Velthoven
We show that the frame measure function of a frame in certain reproducing kernel Hilbert spaces on metric measure spaces is given by the reciprocal of the Beurling density of its i…