A finite dimensional trace formula

2025/05/20 by Tianhong Zhao, Zhao, Tianhong
Mathematics · Computer Science · #Graph theory and applications #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2505.14947

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.

Citations

• The trace formulas yield the inverse metric formula

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