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math.FA2025
Discretization of Continuous Frames by Quasi-Monte Carlo Methods
Jan Zimmermann, Andreas Klotz, Nicki Holighaus
We introduce a discretization scheme for continuous localized frames using quasi-Monte Carlo integration and discrepancy theory. By generalizing classical concepts, we define a dis…
math.FA2024
Coorbit Theory for Coefficients in Weighted Lebesgue Spaces, and its Application to the Wavelet Transform and the Short-Time Fourier Transform
Jan Zimmermann
Starting with an integrable unitary representation of a locally compact group and its associated voice transform, coorbit theory describes the construction and investigation of the…