Email this article Integral Formulas for Recovering Extremal Measures for Vector Constrained Energy Problems
- Authors: Lapik M.A.1
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Affiliations:
- Keldysh Institute of Applied Mathematics
- Issue: Vol 40, No 9 (2019)
- Pages: 1355-1362
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205509
- DOI: https://doi.org/10.1134/S1995080219090208
- ID: 205509
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Abstract
Extremal problems for vector potentials have wide applications in asymptotic analysis of Hermite-Padé approximants of analytic functions. We consider equilibrium vector logarithmic potentials with constrains on measures. We study the dependance of the supports of the equilibrium measures on their masses. We obtain the integral formulas for recovering the extremal measure of given mass from the supports of the equilibrium measures of smaller masses.
About the authors
M. A. Lapik
Keldysh Institute of Applied Mathematics
Author for correspondence.
Email: mashalapik@gmail.com
Russian Federation, Moscow, 125047
