math.AP · 2026-09-02 · No. 103

Analysis of PDEs, 2026-09-02.

1 new papers in math.AP. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

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

    Pingbing Ming, Hao Yu

    math.AP · cs.LG · math.NA

    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 the isotropic Barron scale. For a nonempty set $I$ of electron indices on which the wave function is antisymmetric, we derive an explicit admissible region for the isotropic order $s$ and the...

    arxiv.org/abs/2609.00872 · PDF

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