On the Projective Description of Weighted (LF)-Spaces of Continuous Functions
We solve the problem of the topological or algebraic description of countable inductive limits of weighted Fréchet spaces of continuous functions on a cone. This problem is investigated for two families of weights defined by positively homogeneous functions. Weights of this form play the important r...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/809584 |
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| _version_ | 1832552613456904192 |
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| author | Catherine V. Komarchuk Sergej N. Melikhov |
| author_facet | Catherine V. Komarchuk Sergej N. Melikhov |
| author_sort | Catherine V. Komarchuk |
| collection | DOAJ |
| description | We solve the problem of the topological or algebraic description of countable inductive limits of weighted Fréchet spaces of continuous functions on a cone. This problem is investigated for two families of weights defined by positively homogeneous functions. Weights of this form play the important role in Fourier analysis. |
| format | Article |
| id | doaj-art-0350ebf95a2042278a156841d36e20eb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0350ebf95a2042278a156841d36e20eb2025-02-03T05:58:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/809584809584On the Projective Description of Weighted (LF)-Spaces of Continuous FunctionsCatherine V. Komarchuk0Sergej N. Melikhov1Department of Higher Professional Education, Don State Technical University, Rostov on Don, Gagarin Square 1, 344000, RussiaVorovich Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov on Don, Mil'chakova Street 8 A, 344090, RussiaWe solve the problem of the topological or algebraic description of countable inductive limits of weighted Fréchet spaces of continuous functions on a cone. This problem is investigated for two families of weights defined by positively homogeneous functions. Weights of this form play the important role in Fourier analysis.http://dx.doi.org/10.1155/2014/809584 |
| spellingShingle | Catherine V. Komarchuk Sergej N. Melikhov On the Projective Description of Weighted (LF)-Spaces of Continuous Functions International Journal of Mathematics and Mathematical Sciences |
| title | On the Projective Description of Weighted (LF)-Spaces of Continuous Functions |
| title_full | On the Projective Description of Weighted (LF)-Spaces of Continuous Functions |
| title_fullStr | On the Projective Description of Weighted (LF)-Spaces of Continuous Functions |
| title_full_unstemmed | On the Projective Description of Weighted (LF)-Spaces of Continuous Functions |
| title_short | On the Projective Description of Weighted (LF)-Spaces of Continuous Functions |
| title_sort | on the projective description of weighted lf spaces of continuous functions |
| url | http://dx.doi.org/10.1155/2014/809584 |
| work_keys_str_mv | AT catherinevkomarchuk ontheprojectivedescriptionofweightedlfspacesofcontinuousfunctions AT sergejnmelikhov ontheprojectivedescriptionofweightedlfspacesofcontinuousfunctions |