A coherent product on an inhabited set $Z$ is a binary function $k:Z \times Z \to \mathbb{C}$ of positive type.
An inhabited set equipped with the structure of a coherent product is a coherent space
Arnold Neumaier, Introduction to coherent spaces, (arXiv:1804.01402)
Arnold Neumaier, Coherent Quantum Physics: A Reinterpretation of the Tradition, 1st edition, De Gruyter, 2019. ISBN:9783110667295
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