Floquet-Bloch theory 2closed geodesics 1heat kernel asymptotics 1Kirillov orbit method 1kirillov representation theory 1nilpotent coverings 1nilpotent groups 1Plancherel measure 1restriction of representations 1
From the 2 of 3 linked papers with an AI index.
3 papers
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…
math.RT2026
Noncommutative Floquet-Bloch Theory for Nilpotent Groups: Representation-Theoretic Foundations
Atsushi Katsuda
The paper develops a representation‑theoretic analogue of Floquet‑Bloch theory for torsion‑free nilpotent groups, providing exact restriction results for unitary representations at…
math.DG2025
An extension of the Floquet-Bloch theory to nilpotent groups and its applications
Atsushi Katsuda
We develop a generalized Floquet-Bloch theory for discrete torsion-free nilpotent groups by exploiting their Malcev completions. Our main result is a branching formula that relates…