Title

Riesz external field problems on the hypersphere and optimal point separation

Document Type

Presentation

Presentation Date

Spring 3-2012

Conference Name

Kernel Methods for Applications on the Sphere and Other Manifolds, AMS Sectional Meeting Special Session

Conference Location

Honolulu, Hawaii

Peer Review

Contributed

Abstract

We consider discrete minimal energy problems on the unit sphere S^d in the Euclidean space R^{d+1} in the
presence of an external field Q, where the interaction is via Riesz kernel 1/r^s, s > d-2. In particular we show that (Q,s)-Fekete points that minimize the discrete weighted s-energy when Q is the Riesz potential of a signed measure are well separated.

Disciplines

Analysis | Mathematics

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