1 citations · 1 across the 5 of their papers we have counts for
5 papers
Noncommutative Floquet-Bloch Theory for Nilpotent Groups: Representation-Theoretic Foundations
Atsushi Katsuda
Classical Floquet-Bloch theory decomposes abelian periodic problems over the character torus of the lattice. For nonabelian nilpotent lattices, the non-type I obstruction rules out…
Heat Kernel and Closed Geodesic Asymptotics for Nilpotent Coverings
Atsushi Katsuda
We establish all order long-time asymptotic expansions for heat kernels on nilpotent coverings and for prime closed geodesics in fixed central classes of nilpotent quotients of com…
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…
Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
Michael T. Anderson, Atsushi Katsuda, Yaroslav Kurylev +2
This paper explores and ties together three themes. The first is to establish regularity of a metric tensor, on a manifold with boundary, on which there are given Ricci curvature b…
Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem
Atsushi Katsuda, Yaroslav Kurylev, Matti Lassas
We consider stability and approximate reconstruction of Riemannian manifold when the finite number of eigenvalues of the Laplace-Beltrami operator and the boundary values of the co…