Grand Lebesgue Spaces norm estimates for eigen functions for Laplace-Beltrami operator defined on the closed compact smooth Riemannian manifolds
Abstract
We derive a sharp Grand Lebesgue Space norm estimations for normalized eigen functions for the Laplace-Beltrami operator defined on the compact smooth Riemann manifold. These estimates allow us to deduce in particular the exponential decreasing tail of distribution for these eigen functions.
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