Published February 2004
| Published
Journal Article
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Electrostatics, Hyperbolic Geometry and Wandering Vectors
- Creators
- Grinshpan, Anatolii
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.
Additional Information
© 2004 London Mathematical Society. Received 13 October 2001; revised 7 March 2003. The author is grateful to Professor Donald Sarason for guidance and insight. He thanks the referee of this paper for useful criticism.Attached Files
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- Eprint ID
- 24974
- Resolver ID
- CaltechAUTHORS:20110822-105740726
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2011-08-23Created from EPrint's datestamp field
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2021-11-09Created from EPrint's last_modified field