Convolution estimates and the Gross-Pitaevskii hierarchy

Mathematics – Analysis of PDEs

Scientific paper

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AMSLaTeX, 10 pages, expanded material

Scientific paper

Extensions to higher-dimensions are given for a convolution estimate used by
Klainerman and Machedon in their study of uniqueness of solutions for the
Gross-Pitaevskii hierarchy. Such estimates determine more general forms of
Stein-Weiss integrals involving restriction to smooth submanifolds.

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