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math.AP2026
Sharp Mixed Spectral Barron Regularity of Coulombic Many-Electron Wave Functions
Pingbing Ming, Hao Yu
We establish sharp mixed spectral Barron regularity for eigenfunctions of molecular Coulomb Hamiltonians. The mixed norm is a Fourier norm with one isotropic weight and coord…
math.AP2026
Sharp Barron Regularity Results for Coulombic Many-Electron Wave Functions
Pingbing Ming, Hao Yu
We establish sharp Barron regularity for Coulombic many-electron wave functions after extraction of the universal cut-off Jastrow factors. Following the factorization of Fournais e…
math.AP2025
Barron regularity of many particle Schrödinger eigenfunctions
Pingbing Ming, Hao Yu
This work investigates the regularity of Schrödinger eigenfunctions and the solvability of Schrödinger equations in spectral Barron space , where…