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math.FA2020
The extension problem in free harmonic analysis
Peter Burton, Kate Juschenko
This paper studies certain aspects of harmonic analysis on nonabelian free groups. We focus on the concept of a positive definite function on the free group and our primary goal is…
math.OA2020
Extension of positive definite functions and Connes' embedding conjecture
Peter Burton, Kate Juschenko
In this paper we formulate a conjecture which is a strengthening of an extension theorem of Bakonyi and Timotin for positive definite functions on the free group on two generators.…