Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590084 | Journal of Functional Analysis | 2015 | 48 Pages |
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 with 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Roberto Paoletti,