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arxiv: 1301.3694 · v1 · submitted 2013-01-16 · 🧮 math-ph · math.MP· quant-ph

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Realization of associative products in terms of Moyal and tomographic symbols

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classification 🧮 math-ph math.MPquant-ph
keywords associativedimensionsproductsquantizer-dequantizerallowsanswerconsiderconstruct
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The quantizer-dequantizer method allows to construct associative products on any measure space. Here we consider an inverse problem: given an associative product is it possible to realize it within the quantizer-dequantizer framework? The answer is positive in finite dimensions and we give a few examples in infinite dimensions.

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