Abstract
We generalize the classical Whitney theorem which describes the restrictions of functions of various smoothness to closed sets of a Carnot group. The main results of the article are announced in [1].
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Vodop’yanov S. K. and Pupyshev I. M., “Whitney-type theorems on extension of functions on a Carnot group,” Dokl. Ross. Akad. Nauk, 406, No. 5, 586–590 (2006).
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Original Russian Text Copyright © 2006 Vodop’yanov S. K. and Pupyshev I. M.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 4, pp. 731–752, July–August, 2006.
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Vodop’yanov, S.K., Pupyshev, I.M. Whitney-type theorems on extension of functions on Carnot groups. Sib Math J 47, 601–620 (2006). https://doi.org/10.1007/s11202-006-0072-z
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DOI: https://doi.org/10.1007/s11202-006-0072-z