On covering numbers of sublevel sets of analytic functions

• Autores: Alexander Brudnyi
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 162, Nº 1, 2010, págs. 72-93
• Idioma: inglés
• DOI: 10.1016/j.jat.2009.03.005
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• Resumen

  • In this paper we estimate covering numbers of sublevel sets of families of analytic functions depending analytically on a parameter. We use these estimates to study the local behavior of these families restricted to certain fractal subsets of RN .