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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 problem in harmonic analysis is to understand how frequency resolution constrains stability under nonlinear changes of coordinates. Motivated by Mallat's wavelet scatteri…