3 papers
math.SG2026
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…
math.DS2026
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…
math.SG2024
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 $…