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The Absolute Ε-Entropy of a Compact Set of Infinitely Differentiable Aperiodic Functions

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Abstract

We calculate asymptotics for the Kolmogorov ε-entropy of the compact set of infinitely differentiable aperiodic functions embedded continuously into the space of continuous functions on a closed finite interval.

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Correspondence to V. N. Belykh.

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Original Russian Text © 2018 Belykh V.N.

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Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, vol. 59, no. 6, pp. 1197–1213, November–December, 2018; DOI: 10.17377/smzh.2018.59.601.

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Belykh, V.N. The Absolute Ε-Entropy of a Compact Set of Infinitely Differentiable Aperiodic Functions. Sib Math J 59, 947–959 (2018). https://doi.org/10.1134/S0037446618060010

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  • DOI: https://doi.org/10.1134/S0037446618060010

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