Transfinite diameter notions in C^N and integrals of Vandermonde determinants

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dc.creatorBloom, T.
dc.creatorLevenberg, N.
dc.date2007-12-17
dc.date.accessioned2026-07-07T08:49:49Z
dc.date.available2026-07-07T08:49:49Z
dc.descriptionWe provide a general framework and indicate relations between the notions of transfinite diameter, homogeneous transfinite diameter, and weighted transfinite diameter for sets in C^N. An ingredient is a formula of Rumely which relates the Robin function and the transfinite diameter of a compact set. We also prove limiting formulas for integrals of generalized Vandermonde determinants with varying weights for a general class of compact sets and measures in C^N. Our results extend to certain weights and measures defined on cones in R^N.
dc.identifierhttps://arxiv.org/abs/0712.2844
dc.identifierhttp://arxiv.org/abs/0712.2844
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144438
dc.subjectComplex Variables
dc.subjectClassical Analysis and ODEs
dc.subject32U20; 42C05
dc.titleTransfinite diameter notions in C^N and integrals of Vandermonde determinants
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