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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.SG2024
A new look at unitarity in quantization commutes with reduction for toric manifolds
José M. Mourão, João P. Nunes, Augusto Pereira +1
For a symplectic manifold with the Hamiltonian action of a compact Lie group , we give a new perspective on the problem of unitarity in the quantization commutes with reduct…