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• W1574235989 abstract "In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space. A definition of the Feynman propagator, based on the reproducing property of this space, is proposed. In the $mathbb{R}^n$ case the obtained results coincide with the known expressions." @default.
• W1574235989 created "2016-06-24" @default.
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• W1574235989 date "2015-09-03" @default.
• W1574235989 modified "2023-10-04" @default.
• W1574235989 title "Path Integrals on Euclidean Space Forms" @default.
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• W1574235989 doi "https://doi.org/10.3842/sigma.2015.071" @default.
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