An equivariant Guillemin trace formula
Abstract
Guillemin’s trace formula is an expression for the distributional trace of an operator defined by pulling back functions along a flow on a compact manifold. We obtain an equivariant generalisation of this formula, for proper, cocompact group actions. This is motivated by the construction of an equivariant version of the Ruelle dynamical [Formula: see text]-function in another paper by the same authors, which is based on the equivariant Guillemin trace formula. To obtain this formula, we first develop an equivariant version of the distributional trace that appears in Guillemin’s formula and other places.
Fields of Study & Subjects
Molecular spectroscopy and chirality
Publication details
- Journal / source
- Journal of Topology and Analysis
- Publisher
- World Scientific Pub Co Pte Ltd
- Pages
- 1–27
- Publication date
- 20 May 2026
- Language
- EN