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arXiv · 1404.5791

Equivariant local scaling asymptotics for smoothed Töplitz spectral projectors

Roberto Paoletti
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Abstract

Let $X$ be the unit circle bundle of a positive line bundle on a Hodge manifold. We study the local scaling asymptotics of the smoothed spectral projectors associated to a first order elliptic Töplitz operator $T$ on $X$, possibly in the presence of Hamiltonian symmetries. The resulting expansion is then used to give a local derivation of an equivariant Weyl law. It is not required that $T$ be invariant under the structure circle action, that is, $T$ needn't be a Berezin-Töplitz operator.

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Roberto Paoletti. 2014-04-23. Equivariant local scaling asymptotics for smoothed Töplitz spectral projectors. https://arxiv.org/abs/1404.5791

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