4 papers
Relation between Hardy components for locally supported vector fields on the sphere
Christian Gerhards, Xinpeng Huang, Alexander Kegeles
Given a function in the Hardy space of inner harmonic gradients on the sphere, H+(S), we consider the problem of finding a corresponding function in the Hardy space of outer harmon…
Unique reconstruction of simple magnetizations from their magnetic potential
L. Baratchart, C. Gerhards, A. Kegeles +1
Inverse problems arising in (geo)magnetism are typically ill-posed, in particular {they exhibit non-uniqueness}. Nevertheless, there exist nontrivial model spaces on which the prob…
Decomposition of -vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential
L. Baratchart, C. Gerhards, A. Kegeles
For the boundary of a bounded and connected strongly Lipschitz domain in with , we prove that any field $f\in L^{2} (\partial Ω; \mathbb{R}^{d…
Minimizers of the dynamical Boulatov model
Joseph Ben Geloun, Alexander Kegeles, Andreas G. A. Pithis
We study the Euler-Lagrange equation of the dynamical Boulatov model which is a simplicial model for 3d Euclidean quantum gravity augmented by a Laplace-Beltrami operator. We provi…