Polynomially growing harmonic functions on connected groups
Groups, geometry, and dynamics, Tome 17 (2023) no. 1, pp. 111-126

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DOI

We study the connection between the dimension of certain spaces of harmonic functions on a group and its geometric and algebraic properties.
DOI : 10.4171/ggd/660
Classification : 60-XX, 20-XX, 43-XX
Mots-clés : harmonic functions, connected groups, random walks

Idan Perl  1   ; Ariel Yadin  1

1 Ben-Gurion University of the Negev, Be’er Sheva, Israel
Idan Perl; Ariel Yadin. Polynomially growing harmonic functions on connected groups. Groups, geometry, and dynamics, Tome 17 (2023) no. 1, pp. 111-126. doi: 10.4171/ggd/660
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     author = {Idan Perl and Ariel Yadin},
     title = {Polynomially growing harmonic functions on connected groups},
     journal = {Groups, geometry, and dynamics},
     pages = {111--126},
     year = {2023},
     volume = {17},
     number = {1},
     doi = {10.4171/ggd/660},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/660/}
}
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