A class of convolutors on harmonic extensions of -type groups.
Astengo, Francesca (1995)
Journal of Lie Theory
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Astengo, Francesca (1995)
Journal of Lie Theory
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Philippe Jaming (2001)
Bollettino dell'Unione Matematica Italiana
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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).
Philippe Jaming (1999)
Colloquium Mathematicae
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We study harmonic functions for the Laplace-eltrami operator on the real hyperbolic space . We obtain necessary and sufficient conditions for these functions and their normal derivatives to have a boundary distribution. In doing so, we consider different behaviors of hyperbolic harmonic functions according to the parity of the dimension of the hyperbolic ball . We then study the Hardy spaces , 0
Andersen, Nils Byrial, Unterberger, Jérémie M. (2000)
Journal of Lie Theory
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Petrunin, Anton (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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J. Bros, G.A. Viano (1996)
Forum mathematicum
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J. Bros, G.A. Viano (1997)
Forum mathematicum
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J. Bros, G.A. Viano (1996)
Forum mathematicum
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B. Johnson (1973)
Studia Mathematica
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S. Hartman (1975)
Colloquium Mathematicae
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