The spectral density function of the renormalized Bochner Laplacian on a symplectic manifold

Published 16 Dec 2019 in math.DG and math.SP | (1912.07407v3)

Abstract: We consider the renormalized Bochner Laplacian acting on tensor powers of a positive line bundle on a compact symplectic manifold. We derive an explicit local formula for the spectral density function in terms of coefficients of the Riemannian metric and symplectic form.

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Yuri A. Kordyukov

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