Reflection positivity and Hankel operators—the multiplicity free case
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DOI: 10.1016/j.jfa.2022.109493
Abstract: We analyze reflection positive representations in terms of positive Hankel operators. This is motivated by the fact that positive Hankel operators are described in terms of their Carleson measures, whereas the compatibility condition between representations… read more here.
Keywords: hankel; hankel operators; reflection positive; positive hankel ... See more keywords
Note on Reflection Positivity in Nonlocal Gravity
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DOI: 10.1134/s0021364019050011
Abstract: A necessary condition for reflection positivity is that the free propagator be positive. Contrary to recent claims in the literature, we show that this is indeed the case for a large class of nonlocal field… read more here.
Keywords: nonlocal gravity; note reflection; reflection positivity;