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Non-uniqueness of the natural and projectively equivariant quantization - MaRDI portal

Non-uniqueness of the natural and projectively equivariant quantization (Q2476134)

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Non-uniqueness of the natural and projectively equivariant quantization
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    Non-uniqueness of the natural and projectively equivariant quantization (English)
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    11 March 2008
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    Quantization based on symbol calculus is considered. While existence and uniqueness for a projectively equivariant quantization procedure over the vector space \(\mathbb R^m\) is known, this paper shows that projectively equivariant quantization over arbitrary manifolds is in general not unique.
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    symbol calculus
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    equivariant quantization
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    projective Cartan connections
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    quantization maps
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    natural maps
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