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A Positive Quantization on Type I Locally Compact Groups (1512.01411v1)
Published 4 Dec 2015 in math.RT, math.FA, and math.OA
Abstract: Let $\G$ be a unimodular type I second countable locally compact group and $\wG$ its unitary dual. Motivated by a recent pseudo-differential calculus, we develop a positive Berezin-type quantization with operator-valued symbols defined on $\wG\times\G$.