A classical theorem on harmonic functions states that singularities of bounded harmonic functions are removable if the singular set is of null capacity. This theorem is sometimes attributed to Bouligand, and sometimes to Wiener. I have seen it proved in Wiener's 1924 paper, but I cannot find any source related to Bouligand. Can you please help me locate the original paper of Bouligand where it is proved, or a secondary source that claims Bouligand's priority?

  • $\begingroup$ Maybe because the name is spelled Bouligand. See his expose Fonctions harmoniques (1926) that gives citations to earlier papers. $\endgroup$
    – Conifold
    Jan 31, 2021 at 4:48
  • $\begingroup$ @Conifold: Thanks! I spelled the name correctly when I searched. The mistake was made only in this post. $\endgroup$
    – timur
    Jan 31, 2021 at 4:51
  • $\begingroup$ @Conifold: As far as I can tell, there is no mention of the removable singularity theorem in this paper. $\endgroup$
    – timur
    Feb 2, 2021 at 15:36
  • $\begingroup$ There is a list of 14 more at the end, I did not look. $\endgroup$
    – Conifold
    Feb 2, 2021 at 18:48


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