Essential Self-Adjointness and the L2 -Liouville Property

Bobo Hua, Jun Masamune, Radosław K. Wojciechowski

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We discuss connections between the essential self-adjointness of a symmetric operator and the constancy of functions which are in the kernel of the adjoint of the operator. We then illustrate this relationship in the case of Laplacians on both manifolds and graphs. Furthermore, we discuss the Green’s function and when it gives a non-constant harmonic function which is square integrable.

Original languageEnglish
Article number26
JournalJournal of Fourier Analysis and Applications
Issue number2
Publication statusPublished - 2021 Apr
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)
  • Applied Mathematics


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