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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…
math.CA2025
Meyer wavelets for rational dilations
Marcin Bownik
We show the existence of smooth band-limited multiresolution analysis (MRA) for any expansive dilation with real entries in any spatial dimension. We then prove the existence of or…