A Contour for the Poisson Integral.
K.N. Srinivasa Rao (1972)
Elemente der Mathematik
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K.N. Srinivasa Rao (1972)
Elemente der Mathematik
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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...
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.
Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Alan Weinstein (2000)
Banach Center Publications
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Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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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...
J. Alvarez, M. Milman (1990)
Colloquium Mathematicae
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Tamarkin, Dmitry (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Caprasse, H. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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C. Ryavec (1980)
Aequationes mathematicae
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Jiantao Li (2018)
Czechoslovak Mathematical Journal
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Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson brackets are used to solve many problems in affine algebraic geometry. In this note, we study Poisson derivations on the symplectic Poisson algebra, and give a connection between the Jacobian conjecture with derivations on the symplectic Poisson algebra.
Luchezar N. Stojanov (1989)
Banach Center Publications
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Jan Stankiewicz, Katarzyna Wilczek (2011)
Annales UMCS, Mathematica
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In this paper some estimates for the Poisson extension of a K-quasihomography on the unit circle are given.