129 citations · 355 across the 27 of their papers we have counts for
4 papers · 1 filter
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…
Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem
Thomas Baier, Joachim Hilgert, Oğuzhan Kaya +2
In this paper we use techniques of geometric quantization to give a geometric interpretation of the Peter--Weyl theorem. We present a novel approach to half-form corrected geometri…
A new approximation method for geodesics on the space of Kähler metrics using complexified symplectomorphisms and Gröbner Lie series
José Mourão, João P. Nunes, Tomás Reis
It has been shown that the Cauchy problem for geodesics in the space of Kähler metrics with a fixed cohomology class on a compact complex manifold can be effectively reduced to…
Quantization of Abelian Varieties: distributional sections and the transition from Kähler to real polarizations
Thomas Baier, José M. Mourão, João P. Nunes
We study the dependence of geometric quantization of the standard symplectic torus on the choice of invariant polarization. Real and mixed polarizations are interpreted as degenera…