Product Representations and the Quantization of Constrained Systems

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We study special systems with infinitely many degrees of freedom with regard to dynamical evolution and fulfillment of constraint conditions. Attention is focused on establishing a meaningful functional framework, and for that purpose, coherent states and reproducing kernel techniques are heavily exploited. Several examples are given.
latex, 15 pages, no figs, to appear in the Faddeev Festschrift

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