CONTENTSI. Introduction............................................................................................................................................... 5II. Preliminary notions................................................................................................................................ 7III. Geometric quantization.........................................................................................................................12 A. Elements of symplectic geometry................................................................12 B. Quantum bundles...........................................................................................13 C. Polarizations....................................................................................................16 D. Hilbert space connected with a polarized symplectic manifold............ 18 E. Kostant quantization of physical quantities............................................... 28IV. Kernel quantization............................................................................................................................... 41 A. Geometric quantization of canonical diffeomorphisms.......................... 41 B. Distinguished kernels................................................................................... 43 C. Kernel representation of quantized operators.......................................... 67References.................................................................................................................................................. 78
@book{bwmeta1.element.zamlynska-3ce4b28f-3245-4b3d-b53c-afb14ef80fb6,
author = {K. Gaw\k edzki},
title = {Fourier-like kernels in geometric quantization},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1976},
zbl = {0343.53024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-3ce4b28f-3245-4b3d-b53c-afb14ef80fb6}
}
K. Gawędzki. Fourier-like kernels in geometric quantization. GDML_Books (1976), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-3ce4b28f-3245-4b3d-b53c-afb14ef80fb6/