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Floquet-Bloch theory 2closed geodesics 1heat kernel asymptotics 1Kirillov orbit method 1kirillov representation theory 1nilpotent coverings 1nilpotent groups 1Plancherel measure 1restriction of representations 1

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math.SP2026

Heat Kernel and Closed Geodesic Asymptotics for Nilpotent Coverings

Atsushi Katsuda

The paper derives full long‑time asymptotic expansions for heat kernels on nilpotent covering spaces and for prime closed geodesics in nilpotent quotients of compact hyperbolic sur…