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Electronic wave functions near coalescence points.

The behavior of many-electron wave functions near points where the positions of some of the electrons coincide or where they coincide with positions of nuclei is investigated. A representation theorem for many-electron functions near such points is given extending previous results of Kato (cusp conditions) and Hoffmann-Ostenhof and Seiler. Furthermore, the influence of the Pauli principle on the local behavior of fermionic wave functions near many-particle coalescence points is studied