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Brief Communications

Nonlinear Diameters of Classes of Smooth Functions Defined on the Unit Sphere in $\mathbb R^{d}$

V. S. Romanyuk

Institute of Mathematics, Ukrainian National Academy of Sciences

Keywords: weak asymptotics, nonlinear diameter, nonlinear $n$-width, Lebesgue measure, harmonic polynomial, Laplace–Beltrami operator, Fourier–Laplace coefficient.

Received: 02.08.2005
Revised: 11.07.2008

DOI: 10.4213/mzm4152

 English version: Mathematical Notes, 2009, 85:1, 136–141

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