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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
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.
DOI:
https://doi.org/10.4213/mzm336
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English version:
Mathematical Notes, 2002, 71:2, 149–153
Bibliographic databases:
   
UDC:
517.22
Received: 10.09.1999
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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http://mi.mathnet.ru/eng/mz336https://doi.org/10.4213/mzm336 http://mi.mathnet.ru/eng/mz/v71/i2/p163
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This publication is cited in the following articles:
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A. V. Abanin, Fam Chong Tien, “Zony ustoichivosti dlya medlenno menyayuschikhsya vesov, ispolzuemykh v teorii ultradifferentsiruemykh funktsii”, Vladikavk. matem. zhurn., 10:2 (2008), 3–8
 
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