Karpatsʹkì Matematičnì Publìkacìï (Jan 2013)
Hilbert spaces of symmetric analytical functions on $\ell_{1}$
Abstract
We consider completions of the space of symmetric polynomials on $\ell_{1}$ with respect to some Hilbert norm and investigate conditions under which the obtained spaces consist of analytic functions with domains in $\ell_{1}$. Some connections with abstract Fock spaces are established.