dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Lev, Nir |
dc.contributor.author |
Ortega Cerdà, Joaquim |
dc.date.accessioned |
2013-01-31T11:15:33Z |
dc.date.available |
2013-01-31T11:15:33Z |
dc.date.created |
2012-11-01 |
dc.date.issued |
2012-11-01 |
dc.identifier.uri |
http://hdl.handle.net/2072/206096 |
dc.format.extent |
38 p. |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;1122 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.rights |
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.source |
RECERCAT (Dipòsit de la Recerca de Catalunya) |
dc.subject.other |
Varietats complexes |
dc.subject.other |
Densitat funcional |
dc.subject.other |
Punts fixos,Teoria dels |
dc.subject.other |
Feixos de fibres (Matemàtica) |
dc.title |
Equidistribution estimates for Fekete points on complex manifolds |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.embargo.terms |
cap |
dc.description.abstract |
We study the equidistribution of Fekete points in a compact complex manifold.
These are extremal point configurations defined through sections of powers of a
positive line bundle. Their equidistribution is a known result. The novelty of
our approach is that we relate them to the problem of sampling and
interpolation on line bundles, which allows us to estimate the equidistribution
of the Fekete points quantitatively. In particular we estimate the
Kantorovich-Wasserstein distance of the Fekete points to its limiting measure.
The sampling and
interpolation arrays on line bundles are a subject of independent interest,
and we provide necessary density conditions through the classical approach of
Landau, that in this context measures the local dimension of the space of
sections of the line bundle. We obtain a complete geometric characterization of
sampling and interpolation arrays in the case of compact manifolds of
dimension one, and we prove that there are no arrays of both sampling and
interpolation in the more general setting of semipositive line bundles. |