Stability zones in Whitney's extension problem for ultradifferentiable functions

D. A. Abanin

doi:10.1023/A:1013946911991

Stability zones in Whitney's extension problem for ultradifferentiable functions

Research output: Contribution to journal › Article › peer-review

Abstract

We establish a connection between the growth rate of weight functions ω 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.

Original language	English (US)
Pages (from-to)	149-153
Number of pages	5
Journal	Mathematical Notes
Volume	71
Issue number	1-2
DOIs	https://doi.org/10.1023/A:1013946911991
State	Published - 2002
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Growth rate of a weight function
Ultradifferentiable function of Beurling type
Ultradifferentiable function of Roumieu type
Whitney's extension theorem

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10.1023/A:1013946911991

Cite this

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KW - Ultradifferentiable function of Roumieu type

KW - Whitney's extension theorem

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Stability zones in Whitney's extension problem for ultradifferentiable functions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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