Harmonic analysis on a locally compact hypergroup

Authors

  • A. A. Kalyuzhnyi Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine
  • G. B. Podkolzin National Technical University of Ukraine (KPI), 37, Prospect Peremogy, Kyiv, 03056, Ukraine
  • Yu. A. Chapovsky Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

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Keywords:

Abstract

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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Published

2010-12-25

Issue

Vol. 16 No. 4 (2010)

Section

Articles

How to Cite

Kalyuzhnyi, A. A., et al. “Harmonic Analysis on a Locally Compact Hypergroup”. Methods of Functional Analysis and Topology, vol. 16, no. 4, Dec. 2010, pp. 304-32, https://zen.imath.kiev.ua/index.php/mfat/article/view/460.