The Spectral Density Function of the Renormalized Bochner Laplacian on a Symplectic Manifold

被引：0
|
作者：
Kordyukov Y.A. [1 ,2 ]
机构：
[1] Institute of Mathematics, UFRC RAS, 112, Chernyshevskii St., Ufa
[2] Novosibirsk State University, 1, Pirogova St., Novosibirsk
来源：
Journal of Mathematical Sciences | 2020年 / 251卷 / 5期
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D O I：
10.1007/s10958-020-05123-2
中图分类号：
学科分类号：
摘要：
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. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：696 / 712
页数：16
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