Mean values and harmonic functions.
W. Hansen, N. Nadirashvili (1993)
Mathematische Annalen
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W. Hansen, N. Nadirashvili (1993)
Mathematische Annalen
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Takashi Okayasu (1994)
Mathematische Annalen
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E.H. Youssfi, K.T. Hahn (1997)
Monatshefte für Mathematik
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Rainer Wittmann (1985)
Mathematische Zeitschrift
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Dariusz Buraczewski, Ewa Damek (2002)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We study a natural system of second order differential operators on a symmetric Siegel domain that is invariant under the action of biholomorphic transformations. If is of type two, the space of real valued solutions coincides with pluriharmonic functions. We show the main idea of the proof and give a survey of previous results.
Manfred Stoll (1976)
Journal für die reine und angewandte Mathematik
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W. Hansen, I. Netuka (1995)
Mathematische Annalen
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Domingo Toledo, Antun Domic (1986)
Mathematische Annalen
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Bent Fuglede (1979)
Mathematische Annalen
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Atsushi Tachikawa (1985)
Manuscripta mathematica
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Wen Sheng Wang (1995)
Revista Matemática Iberoamericana
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In any C domain, there is nonzero harmonic function C continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.