Stable separation of orbits for finite abelian group actions

DOI10.1007/s00041-024-10069-zOpenAlexW4391527299MaRDI QIDQ6120335

Jameson Cahill, Andres Contreras, Andres Contreras Hip

Publication date: 25 March 2024

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-024-10069-z

zbMATH Keywords

separating setinvariant theorystable separation

Mathematics Subject Classification ID

Finite abelian groups (20K01) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Other transformations of harmonic type (42C20) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Cites Work

• Complete set of translation invariant measurements with Lipschitz bounds
• Multiscale sparse microcanonical models
• Phase retrieval in infinite-dimensional Hilbert spaces
• Group Invariant Scattering
• Degree bound for separating invariants of abelian groups
• Wavelet Scattering Regression of Quantum Chemical Energies
• Invariants of finite and discrete group actions via moving frames
• Max filtering with reflection groups
• Estimation under group actions: recovering orbits from invariants

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