In questo articolo studieremo le relazioni fra le funzioni armoniche nella palla iperbolica (sia essa reale, complessa o quaternionica), le funzione armoniche euclidee in questa palla, e le funzione pluriarmoniche sotto certe condizioni di crescita. In particolare, estenderemo al caso quaternionico risultati anteriori dell'autore (nel caso reale), e di A. Bonami, J. Bruna e S. Grellier (nel caso complesso).
@article{BUMI_2001_8_4B_3_685_0,
author = {Philippe Jaming},
title = {Harmonic functions on classical rank one balls},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {4-A},
year = {2001},
pages = {685-702},
zbl = {1177.32002},
mrnumber = {1859429},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_3_685_0}
}
Jaming, Philippe. Harmonic functions on classical rank one balls. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 685-702. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_3_685_0/
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