Beurling-Type Theorem for a Class of Reproducing Kernel Hilbert Spaces
In this paper, it is proved that the Beurling-type theorem holds for the shift operator on a class of reproducing analytic Hilbert spaces.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4478452 |
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| _version_ | 1832563715267887104 |
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| author | Zhi-jie Wang Jie-sheng Xiao Xian-min Xu |
| author_facet | Zhi-jie Wang Jie-sheng Xiao Xian-min Xu |
| author_sort | Zhi-jie Wang |
| collection | DOAJ |
| description | In this paper, it is proved that the Beurling-type theorem holds for the shift operator on a class of reproducing analytic Hilbert spaces. |
| format | Article |
| id | doaj-art-8518d75821b243d3ade244978948d0fe |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8518d75821b243d3ade244978948d0fe2025-02-03T01:12:53ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4478452Beurling-Type Theorem for a Class of Reproducing Kernel Hilbert SpacesZhi-jie Wang0Jie-sheng Xiao1Xian-min Xu2College of Data ScienceSchool of Information EngineeringCollege of Data ScienceIn this paper, it is proved that the Beurling-type theorem holds for the shift operator on a class of reproducing analytic Hilbert spaces.http://dx.doi.org/10.1155/2022/4478452 |
| spellingShingle | Zhi-jie Wang Jie-sheng Xiao Xian-min Xu Beurling-Type Theorem for a Class of Reproducing Kernel Hilbert Spaces Journal of Mathematics |
| title | Beurling-Type Theorem for a Class of Reproducing Kernel Hilbert Spaces |
| title_full | Beurling-Type Theorem for a Class of Reproducing Kernel Hilbert Spaces |
| title_fullStr | Beurling-Type Theorem for a Class of Reproducing Kernel Hilbert Spaces |
| title_full_unstemmed | Beurling-Type Theorem for a Class of Reproducing Kernel Hilbert Spaces |
| title_short | Beurling-Type Theorem for a Class of Reproducing Kernel Hilbert Spaces |
| title_sort | beurling type theorem for a class of reproducing kernel hilbert spaces |
| url | http://dx.doi.org/10.1155/2022/4478452 |
| work_keys_str_mv | AT zhijiewang beurlingtypetheoremforaclassofreproducingkernelhilbertspaces AT jieshengxiao beurlingtypetheoremforaclassofreproducingkernelhilbertspaces AT xianminxu beurlingtypetheoremforaclassofreproducingkernelhilbertspaces |