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20132019
most citedHarmonic functions on locally compact groups of polynomial growth

2 citations · 3 across the 4 of their papers we have counts for

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math.GR2019

Polynomially growing harmonic functions on connected groups

Idan Perl, Ariel Yadin

We study the connection between the dimension of certain spaces of harmonic functions on a group and its geometric and algebraic properties. Our main result shows that (for suffici…

math.GR2017★ 2 cited

Harmonic functions on locally compact groups of polynomial growth

Idan Perl, Maud Szusterman

We extend a theorem by Kleiner, stating that on a group with polynomial growth, the space of harmonic functions of polynomial of at most is finite dimensional, to the settings…

math.GR2015

Polynomials and harmonic functions on discrete groups

Tom Meyerovitch, Idan Perl, Matthew Tointon +1

Alexopoulos proved that on a finitely generated virtually nilpotent group, the restriction of a harmonic function of polynomial growth to a torsion-free nilpotent subgroup of finit…