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ELECTROSTATICS, HYPERBOLIC GEOMETRY AND WANDERING VECTORS
Published online by Cambridge University Press: 28 January 2004
Abstract
A family of planar discrete electrostatic systems on the unit circle with finitely atomic external fields is considered. The geometry of particles in the external field yielding a given minimum energy configuration is studied. As an application, the wandering vectors of the shift operator in the Dirichlet spaces associated with finitely atomic measures are also studied. In particular, the zero locus of a wandering vector is discussed.
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- The London Mathematical Society 2004
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