A finite dimensional trace formula

Published 20 May 2025 in math-ph, math.MP, math.SP, and quant-ph | (2505.14947v1)

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.

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Authors (1)

Tianhong Zhao

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