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Matematicheskie Zametki, 2002, Volume 71, Issue 2, Pages 163–167
DOI: https://doi.org/10.4213/mzm336 (Mi mzm336) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Stability Zones in Whitney's Extension Problem for Ultradifferentiable Functions

D. A. Abanin

Moscow Institute of Physics and Technology
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DOI: https://doi.org/10.4213/mzm336
Abstract: We establish a connection between the growth rate of weight functions $\omega$ generating nonquasianalytic classes of ultradifferentiable functions of Beurling and Roumieu type and the validity of an analog of Whitney's extension theorem for these classes.
Received: 10.09.1999
English version:
Mathematical Notes, 2002, Volume 71, Issue 2, Pages 149–153
DOI: https://doi.org/10.1023/A:1013946911991
Bibliographic databases:
UDC: 517.22
Language: Russian
Citation: D. A. Abanin, “Stability Zones in Whitney's Extension Problem for Ultradifferentiable Functions”, Mat. Zametki, 71:2 (2002), 163–167; Math. Notes, 71:2 (2002), 149–153
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Математические заметки Mathematical Notes
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