A. Kalyuzhnyi, G. B. Podkolzin, and Yu. A. Chapovsky. Harmonic Analysis on a Locally Compact Hypergroup

We propose a new axiomatics for a locally compact hypergroup. On the one hand, the new object generalizes a DJS-hypergroup and, on the other hand, it allows to obtain results similar to those for a unimodular hypecomplex system with continuous basis. We construct a harmonic analysis and, for a commutative locally compact hypergroup, give an analogue of the Pontryagin duality theorem.

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