01-262 Christian Hainzl, Robert Seiringer

General decomposition of radial functions on R^n and refined conditions for positive definiteness (14K, LaTeX2e) Jul 12, 01

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Abstract. We present a generalization of the Fefferman-de la Llave decomposition of the Coulomb potential to quite arbitrary radial functions $V$ on $\R^n$ going to zero at infinity. As a byproduct, we obtain conditions for positive definiteness of $V$, thereby improving results of Askey.

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