2 papers
math-ph2025
A finite dimensional trace formula
Tianhong Zhao
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…
math-ph2023
Spectral theory of -adic unitary operator
Zhao Tianhong
The -adic unitary operator is defined as an invertible operator on -adic ultrametric Banach space such that . We point out h…