S. K. Vodop'yanov, I. M. Pupyshev, “Whitney-type theorems on extension of functions on Carnot groups”, Sibirsk. Mat. Zh., 2006, Volume 47, Number 4,Pages <nobr>731

This article is cited in 21 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

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.

UDC: 517.518.23, 512.813.52

Received: 08.07.2005