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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