Abstract
We expand polynomial quantization on G∕H to the case when a representation of the group G on functions on G∕H is induced by a character of the subgroup H.
Supported by grants of Minobrnauki: 3.8515.2017.
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References
V.F. Molchanov, Quantization on para-Hermitian symmetric spaces. Am. Math. Soc. Transl. Ser. 2 175(31), 81–95 (1996)
V.F. Molchanov, Berezin quantization as a part of the representation theory. Vestnik Tambov Univ. Ser. Estestv. tekhn. nauki 22(6), 1235–1246 (2017)
V.F. Molchanov, N.B. Volotova, Polynomial quantization on rank one para-Hermitian symmetric spaces. Acta Appl. Math. 81(1–3), 215–232 (2004)
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Molchanov, V.F. (2020). Polynomial Quantization on Line Bundles. In: Kravchenko, V., Sitnik, S. (eds) Transmutation Operators and Applications. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-35914-0_10
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DOI: https://doi.org/10.1007/978-3-030-35914-0_10
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