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News/Sharp Mixed Spectral Barron Regularity of Coulombic Many-Electron Wave Functions
arxiv
PublishedSeptember 2, 2026 at 4:00 AM

Sharp Mixed Spectral Barron Regularity of Coulombic Many-Electron Wave Functions

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arXiv:2609.00872v1 Announce Type: cross Abstract: We establish sharp mixed spectral Barron regularity for eigenfunctions of molecular Coulomb Hamiltonians. The mixed norm is a Fourier $L^1$ norm with one isotropic weight and coordinate-product weights, and therefore detects regularity invisible to t

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