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.
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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 |