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math.FA2026
Universal admissibility for scattering transforms
Max Getter
We resolve the admissibility problem for scattering transforms: every Parseval filter bank on whose low-pass filter is nonvanishing at the origin induces a norm-pres…
math.FA2026
The Stability Landscape in Wave-Packet Scattering: Geometric Rigidity and Sharp Sobolev Thresholds
Max Getter, S. Ivan Trapasso
A central challenge in modern harmonic analysis is to quantify the balance between the approximation power of finely resolved multiscale representations and their robustness to non…
math.FA2025
Cheeger Bounds for Stable Phase Retrieval in Reproducing Kernel Hilbert Spaces
Hartmut Führ, Max Getter
Phase retrieval seeks to reconstruct a signal from phaseless intensity measurements and, in applications where measurements contain errors, demands stable reconstruction. We study…