1 citations · 1 across the 5 of their papers we have counts for
5 papers
Fourier-Helgason transform as infinite geodesic time limit in geometric quantization
Ana Cristina Ferreira, Joachim Hilgert, José M. Mourão +1
The Fourier-Helgason (FH) transform for a noncompact symmetric space establishes the direct integral decomposition of the unitary representation of on into irr…
Spectral theory for transfer operators on compact quotients of Euclidean buildings
Joachim Hilgert, Daniel Kahl, Tobias Weich
In this paper we generalize the geodesic flow on (finite) homogeneous graphs to a multiparameter flow on compact quotients of Euclidean buildings. Then we study the joint spectra o…
Fibering polarizations and Mabuchi rays on symmetric spaces of compact type
Thomas Baier, Ana Cristina Ferreira, Joachim Hilgert +2
In this paper, we describe holomorphic quantizations of the cotangent bundle of a symmetric space of compact type , along Mabuchi rays of $…
Quantum resonances and scattering poles of classical rank one locally symmetric spaces
Benjamin Delarue, Joachim Hilgert
For negatively curved symmetric spaces it is known from [Hansen-Hilgert-Parthasarathy,2019] that the poles of the scattering matrices defined via the standard intertwining operator…
A Pairing Formula for Resonant States on Finite Regular Graphs
Christian Arends, Jan Frahm, Joachim Hilgert
On a finite regular graph, (co)resonant states are eigendistributions of the transfer operator associated to the shift on one-sided infinite non-backtracking paths. We introduce tw…