On periodic $p$-harmonic functions on Cayley tree

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dc.creatorRozikov, U. A.
dc.creatorIshankulov, F. T.
dc.date2008-03-06
dc.date.accessioned2026-07-07T09:25:10Z
dc.date.available2026-07-07T09:25:10Z
dc.descriptionWe show that any periodic with respect to normal subgroups (of the group representation of the Cayley tree) of finite index $p$-harmonic function is a constant. For some normal subgroups of infinite index we describe a class of (non-constant) periodic $p$-harmonic functions. If $p\neq2$, the $p$-harmonicity is non-linear, i.e., the linear combination of $p$-harmonic functions need not be $p$-harmonic. In spite of this, we show that linear combinations of the $p$-harmonic functions described for normal subgroups of infinite index are also $p$-harmonic.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0803.0804
dc.identifierhttp://arxiv.org/abs/0803.0804
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156316
dc.subjectFunctional Analysis
dc.titleOn periodic $p$-harmonic functions on Cayley tree
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