The Modification of Poisson-Sch Integral on Cones and Its Applications

Jinjin Huang, B. Ychussie


In this paper, we construct a modified
Poisson-Sch integral on cones. As applications, we not only obtain the asymptotic behaviors of generalized harmonic functions but also characterize the geometrical properties of the exceptional sets with respect to the Schr\"{o}dinger operator on cones.

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