Siberian Mathematical Journal

, Volume 47, Issue 4, pp 601–620 | Cite as

Whitney-type theorems on extension of functions on Carnot groups

  • S. K. Vodop’yanov
  • I. M. Pupyshev


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].


Carnot group Whitney theorem extension of functions traces of functions 


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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • S. K. Vodop’yanov
    • 1
  • I. M. Pupyshev
    • 1
  1. 1.Sobolev Institute of MathematicsNovosibirskRussia

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