Geometric quantization: Hilbert space structure on the space of generalized sections (Q1305721)

It is shown that for a wide class of polarizations the union BS of all \(D\)-leaves with trivial holonomy group is the union of \(E\)-leaves, where \(E= F+\widetilde{F}\), and \(F\) is the invariant complex polarization. The author constructs a Hilbert space structure on the space of generalized sections such that any quantizable real function with a complete Hamiltonian vector field generates a one-parameter group of unitary operators.