Harmonic functions on classical rank one balls

Philippe Jaming (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

harmonic functions on the hyperbolic balls (real, complex or quaternionic), the euclidean harmonic functions on these balls and pluriharmonic functions under growth conditions. In particular, we extend results by A. Bonami, J. Bruna and S. Grellier (complex case) and the author (real case) to the quaternionic case.

Mots clés: rank one ball; harmonic functions; boundary values

Domaines: Analyse classique [math.CA]

Philippe Jaming. Harmonic functions on classical rank one balls. Bollettino dell'Unione Matematica Italiana, 2001, 8, pp.685-702. ⟨hal-00005821⟩