A finite dimensional trace formula
Mathematical Physics
2025-05-22 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
We take the trace of Von-Neumann's ergodic theorem and get a trace formula of a unitary matrix family. It is an extension of Poisson summation formula in higher dimension. We also construct a family of crystalline measure with complex coefficient.
Keywords
Cite
@article{arxiv.2505.14947,
title = {A finite dimensional trace formula},
author = {Tianhong Zhao},
journal= {arXiv preprint arXiv:2505.14947},
year = {2025}
}