Mathematics – Functional Analysis
Scientific paper
2008-03-06
Mathematics
Functional Analysis
8 pages
Scientific paper
We 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.
Ishankulov F. T.
Rozikov Utkir A.
No associations
LandOfFree
On periodic $p$-harmonic functions on Cayley tree does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On periodic $p$-harmonic functions on Cayley tree, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On periodic $p$-harmonic functions on Cayley tree will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-13553