Hilbert spaces of symmetric analytical functions on $ell_{1}$
We consider completions of the space of symmetric polynomials on$ell_1$ with respect to some Hilbert norm and investigateconditions under which the obtained spaces consist of analyticfunctions with domains in $ell_1.$ Some connections with abstractFock spaces are established.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2011-06-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/49/41 |
| _version_ | 1828369659553906688 |
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| author | O. M. Holubchak |
| author_facet | O. M. Holubchak |
| author_sort | O. M. Holubchak |
| collection | DOAJ |
| description | We consider completions of the space of symmetric polynomials on$ell_1$ with respect to some Hilbert norm and investigateconditions under which the obtained spaces consist of analyticfunctions with domains in $ell_1.$ Some connections with abstractFock spaces are established. |
| first_indexed | 2024-04-14T06:26:48Z |
| format | Article |
| id | doaj.art-f89f8a0315274bbeb752e206b1aeb229 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 |
| language | English |
| last_indexed | 2024-04-14T06:26:48Z |
| publishDate | 2011-06-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-f89f8a0315274bbeb752e206b1aeb2292022-12-22T02:07:46ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272011-06-01313439Hilbert spaces of symmetric analytical functions on $ell_{1}$O. M. HolubchakWe consider completions of the space of symmetric polynomials on$ell_1$ with respect to some Hilbert norm and investigateconditions under which the obtained spaces consist of analyticfunctions with domains in $ell_1.$ Some connections with abstractFock spaces are established.http://journals.pu.if.ua/index.php/cmp/article/view/49/41 |
| spellingShingle | O. M. Holubchak Hilbert spaces of symmetric analytical functions on $ell_{1}$ Karpatsʹkì Matematičnì Publìkacìï |
| title | Hilbert spaces of symmetric analytical functions on $ell_{1}$ |
| title_full | Hilbert spaces of symmetric analytical functions on $ell_{1}$ |
| title_fullStr | Hilbert spaces of symmetric analytical functions on $ell_{1}$ |
| title_full_unstemmed | Hilbert spaces of symmetric analytical functions on $ell_{1}$ |
| title_short | Hilbert spaces of symmetric analytical functions on $ell_{1}$ |
| title_sort | hilbert spaces of symmetric analytical functions on ell 1 |
| url | http://journals.pu.if.ua/index.php/cmp/article/view/49/41 |
| work_keys_str_mv | AT omholubchak hilbertspacesofsymmetricanalyticalfunctionsonell1 |