Boundedness of spectral projectors on Riemannian manifolds

Abstract: Given the Laplace(-Beltrami) operator on a Riemannian manifold, consider the spectral projector on (generalized) eigenfunctions whose eigenvalue lies in [L^2,(L+delta)^2] - where L >> 1 and delta << 1. We ask the question of optimal L^2 to L^p bounds for this operator. I will present new results in this direction for the Euclidean torus (joint with Pierre Germain).

analysis of PDEsclassical analysis and ODEs

Audience: researchers in the topic

Virtual Maxwell Analysis Seminar

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