B. Fuglede

activity

20102019

collaborators

7 papers

math.FA2019

The Fuglede Theorem and Some Intertwining Relations

Ikram Fatima Zohra Bensaid, Souheyb Dehimi, Bent Fuglede +1

In this paper, we show a new and classic version of the celebrated Fuglede Theorem in an unbounded setting. A related counterexample is equally presented. In the second strand of t…

math.CA2018

Various concepts of Riesz energy of measures and application to condensers with touching plates

Bent Fuglede, Natalia Zorii

We investigate minimum weak $α$ -Riesz energy problems with external fields in both the unconstrained and constrained settings for generalized condensers $(A_{1}, A_{2})$ such that the c…

math.CA2018

An alternative concept of Riesz energy of measures with application to generalized condensers

Bent Fuglede, Natalia Zorii

In view of a recent example of a positive Radon measure $μ$ on a domain $D \subset R^{n}$ , $n ⩾ 3$ , such that $μ$ is of finite energy $E_{g} (μ)$ relative to the $α$ -Green k…

math.CA2018

Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser

Bent Fuglede, Natalia Zorii

For a finite collection $A = (A_{i})_{i \in I}$ of locally closed sets in $R^{n}$ , $n ⩾ 3$ , with the sign $\pm 1$ prescribed such that the oppositely charged plates a…

math.CA2016

Symmetric function kernels and sweeping of measures

Bent Fuglede

This is a potential theoretic study of balayage (sweeping) of a positive Radon measure on a locally compact (Hausdorff) space onto a closed, or more generally a quasiclosed set (th…

math.CA2015

Minimum Riesz energy problems for a condenser with "touching plates"

P. D. Dragnev, D. Hardin, E. B. Saff +1

Minimum Riesz energy problems in the presence of an external field are analyzed for a condenser with touching plates. We obtain sufficient and/or necessary conditions for the solva…