Harmonic functions on homogeneous spaces of commutator induced extensions of compact groups
R. E. Lewkowicz (1988)
Colloquium Mathematicae
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R. E. Lewkowicz (1988)
Colloquium Mathematicae
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Massimo A. Picardello, Mitchell H. Taibleson (1990)
Colloquium Mathematicae
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Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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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...
E.M. Stein (1983)
Inventiones mathematicae
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Watson, Neil A. (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Ali Abkar (2007)
Bollettino dell'Unione Matematica Italiana
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We first consider the biharmonic Poisson kernel for the unit disk, and study the boundary behavior of potentials associated to this kernel function. We shall then use some properties of the biharmonic Poisson kernel for the unit disk to compute the analogous biharmonic Poisson kernel for the upper half plane.
Alan Weinstein (2000)
Banach Center Publications
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Bogdan, Krzysztof (1995)
International Journal of Mathematics and Mathematical Sciences
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S. Bernstein, P. Cerejeiras (2007)
Studia Mathematica
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We present necessary and sufficient conditions for a measure to be a p-Carleson measure, based on the Poisson and Poisson-Szegő kernels of the n-dimensional unit ball.
Jinn-Liang Liu, Dexuan Xie, Bob Eisenberg (2017)
Molecular Based Mathematical Biology
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We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correlation efects in electrolyte solutions. The formulation is based on the volume exclusion of hard spheres leading to a steric potential and Maxwell’s displacement field with Yukawa-type interactions resulting in a nonlocal electric potential. The classical Poisson-Boltzmann model fails to describe steric and correlation...
Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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Tamarkin, Dmitry (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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