Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings
We introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces. Using the analogues of tensor products of metric spaces and linearizations of analytic functions we construct a global linearization of Lipschitz-polynomi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2013-01-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/72 |
| _version_ | 1828770103260348416 |
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| author | M. V. Dubei A. V. Zagorodnyuk |
| author_facet | M. V. Dubei A. V. Zagorodnyuk |
| author_sort | M. V. Dubei |
| collection | DOAJ |
| description | We introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces. Using the analogues of tensor products of metric spaces and linearizations of analytic functions we construct a global linearization of Lipschitz-polynomial and Lipschitz-analytic maps.<br /> |
| first_indexed | 2024-12-11T14:00:50Z |
| format | Article |
| id | doaj.art-049d7267a2b649c0bb07c627cb2ed502 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-12-11T14:00:50Z |
| publishDate | 2013-01-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-049d7267a2b649c0bb07c627cb2ed5022022-12-22T01:03:52ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102013-01-0131404810.15330/cmp.3.1.40-4876Linearization of Lipschitz-polynomial and Lipschitz-analytic mappingsM. V. Dubei0A. V. Zagorodnyuk1Vasyl Stefanyk Precarpathian National UniversityVasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, UkraineWe introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces. Using the analogues of tensor products of metric spaces and linearizations of analytic functions we construct a global linearization of Lipschitz-polynomial and Lipschitz-analytic maps.<br />http://journals.pu.if.ua/index.php/cmp/article/view/72 |
| spellingShingle | M. V. Dubei A. V. Zagorodnyuk Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings Karpatsʹkì Matematičnì Publìkacìï |
| title | Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings |
| title_full | Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings |
| title_fullStr | Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings |
| title_full_unstemmed | Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings |
| title_short | Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings |
| title_sort | linearization of lipschitz polynomial and lipschitz analytic mappings |
| url | http://journals.pu.if.ua/index.php/cmp/article/view/72 |
| work_keys_str_mv | AT mvdubei linearizationoflipschitzpolynomialandlipschitzanalyticmappings AT avzagorodnyuk linearizationoflipschitzpolynomialandlipschitzanalyticmappings |