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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 4, Pages 731–752 (Mi smj891)  
This article is cited in 20 scientific papers (total in 20 papers)

Whitney-type theorems on extension of functions on Carnot groups

S. K. Vodop'yanov, I. M. Pupyshev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (294 kB) Citations (20)
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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].
Keywords: Carnot group, Whitney theorem, extension of functions, traces of functions.
Received: 08.07.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 4, Pages 601–620
DOI: https://doi.org/10.1007/s11202-006-0072-z
Bibliographic databases:
UDC: 517.518.23, 512.813.52
Language: Russian
Citation: S. K. Vodop'yanov, I. M. Pupyshev, “Whitney-type theorems on extension of functions on Carnot groups”, Sibirsk. Mat. Zh., 47:4 (2006), 731–752; Siberian Math. J., 47:4 (2006), 601–620
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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