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The Liouville property for harmonic functions on groups and hypergroups


A survey is given on the Liouville property of harmonic functions on groups and hypergroups. The discussion of a characterization of that property in terms of the underlying algebraic structures yields interesting open problems.

Key words: Harmonic functions, information measures, hypergroups.

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TitleThe Liouville property for harmonic functions on groups and hypergroups
SourceMethods Funct. Anal. Topology, Vol. 23 (2017), no. 1, 3-25
MilestonesReceived 04/10/2016; Revised 19/12/2016
CopyrightThe Author(s) 2017 (CC BY-SA)

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Herbert Heyer
Mathematisches Institut, Universitat Tubingen, Auf der Morgenstelle 10, D-72076 Tubingen, Germany

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Herbert Heyer, The Liouville property for harmonic functions on groups and hypergroups, Methods Funct. Anal. Topology 23 (2017), no. 1, 3-25.


@article {MFAT945,
    AUTHOR = {Heyer, Herbert},
     TITLE = {The Liouville property for harmonic functions on groups
and hypergroups},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {23},
      YEAR = {2017},
    NUMBER = {1},
     PAGES = {3-25},
      ISSN = {1029-3531},
       URL = {},


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