A remark on the approximation theorems of Whitney and Carleman-Scheinberg
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317849" target="_blank" >RIV/00216208:11320/15:10317849 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.14712/1213-7243.015.101" target="_blank" >http://dx.doi.org/10.14712/1213-7243.015.101</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14712/1213-7243.015.101" target="_blank" >10.14712/1213-7243.015.101</a>
Alternative languages
Result language
angličtina
Original language name
A remark on the approximation theorems of Whitney and Carleman-Scheinberg
Original language description
We show that a $C^k$-smooth mapping on an open subset can be approximated in a fine topology and together with its derivatives by a restriction of a holomorphic mapping with explicitly described domain. As a corollary we obtain a generalisation of the Carleman-Scheinberg theorem on approximation by entire functions.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F11%2F0345" target="_blank" >GAP201/11/0345: Nonlinear functional analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Commentationes Mathematicae Universitatis Carolinae
ISSN
0010-2628
e-ISSN
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Volume of the periodical
56
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
6
Pages from-to
1-6
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-84924576986