Harmonic functions on [IN] and central hypergroups |
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| Authors: | Massoud Amini |
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| Institution: | 1. Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, 14115-134, Tehran, Iran
2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), 19395-5746, Tehran, Iran
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| Abstract: | In this paper we introduce the notions of I N] and S I N]-hypergroups and prove a Choquet-Deny type theorem for I N] and central hypergroups. More precisely, we prove a Liouville theorem for bounded harmonic functions on a class of I N]-hypergroups. Further, we show that positive harmonic functions on I N]-hypergroups are integrals of exponential functions. Similar results are proved for S I N] and central hypergroups. |
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