Quadrature Domains Packing
Abstract
Abstract Given a finite family of compact subsets of the complex plane we propose a certificate of mutual non-overlapping with respect to area measure. The criterion is stated as a couple of positivity conditions imposed on a four argument analytic/anti-analytic kernel defined in a neighborhood of infinity. In case the compact sets are closures of quadrature domains the respective kernel is rational, enabling an effective matrix analysis algorithm for the non-overlapping decision. The simplest situation of two disks is presented in detail from a matrix model perspective as well as from a Riemann surface potential theoretic interpretation.
Fields of Study & Subjects
Synthesis of Tetrazole Derivatives
Synthesis and properties of polymers
Publication details
- Journal / source
- Constructive Approximation
- Publisher
- Springer Science and Business Media LLC
- Volume
- 64
- Issue
- 1
- Pages
- 105–143
- Publication date
- 2 June 2026
- Language
- EN