Poisson Integrals and Boundary Components of Symmetric Spaces.
Adam Korányi (1976)
Inventiones mathematicae
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Adam Korányi (1976)
Inventiones mathematicae
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S. Chang (1981)
Studia Mathematica
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Frank Beatrous (1991)
Studia Mathematica
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R. E. Lewkowicz (1988)
Colloquium Mathematicae
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Peter Sjögren (1981)
Mathematica Scandinavica
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Ewa Damek (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Massimo A. Picardello, Mitchell H. Taibleson (1990)
Colloquium Mathematicae
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Anders Olofsson (2004)
Studia Mathematica
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An operator-valued multi-variable Poisson type integral is studied. In Section 2 we obtain a new equivalent condition for the existence of a so-called regular unitary dilation of an n-tuple T=(T₁,...,Tₙ) of commuting contractions. Our development in Section 2 also contains a new proof of the classical dilation result of S. Brehmer, B. Sz.-Nagy and I. Halperin. In Section 3 we turn to the boundary behavior of this operator-valued Poisson integral. The results obtained in this section...
Andrzej Hulanicki (1995)
Banach Center Publications
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This is a short description of some results obtained by Ewa Damek, Andrzej Hulanicki, Richard Penney and Jacek Zienkiewicz. They belong to harmonic analysis on a class of solvable Lie groups called NA. We apply our results to analysis on classical Siegel domains.
Michel Lassalle (1984)
Inventiones mathematicae
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Weihua Geng (2015)
Molecular Based Mathematical Biology
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Numerically solving the Poisson-Boltzmann equation is a challenging task due to the existence of the dielectric interface, singular partial charges representing the biomolecule, discontinuity of the electrostatic field, infinite simulation domains, etc. Boundary integral formulation of the Poisson-Boltzmann equation can circumvent these numerical challenges and meanwhile conveniently use the fast numerical algorithms and the latest high performance computers to achieve combined improvement...
P.L. Lions, B. Perthame (1991)
Inventiones mathematicae
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