I: 01, 3-17, LNM 39 (1967)
AVANISSIAN, Vazgain
Sur l'harmonicité des fonctions séparément harmoniques (
Potential theory)
This paper proves a harmonic version of Hartogs' theorem: separately harmonic functions are jointly harmonic (without any boundedness assumption) using a complex extension procedure. The talk is an extract from the author's original work in
Ann. ENS, 178, 1961
Comment: This talk was justified by the current interest of the seminar in doubly excessive functions, see Cairoli
102 in the same volume
Keywords: Doubly harmonic functionsNature: Exposition Retrieve article from Numdam