Green energy of discrete signed measure on concentric circles
- Authors: Dubinin V.N.1
-
Affiliations:
- Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
- Issue: Vol 87, No 2 (2023)
- Pages: 69-88
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/133900
- DOI: https://doi.org/10.4213/im9343
- ID: 133900
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Abstract
We show that the difference between the Green energy of a discrete signed measurerelative to a circular annulus concentrated at some points on concentric circles and the energyof the signed measure at symmetric pointsis non-decreasing during the expansion of the annulus. As a corollary, generalizations ofthe classicalPolya–Schur inequality for complex numbers are obtained.Some open problems are formulated.
About the authors
Vladimir Nikolaevich Dubinin
Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
Email: dubinin@iam.dvo.ru
Doctor of physico-mathematical sciences, Professor
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