@Article{Stochel2005,
author = "Stochel, Jerzy",
title = "A note on inductive limit model of Bargmann space of infinite order",
journal = "Opuscula Math.",
year = "2005",
volume = "25",
number = "1",
pages = "139--148",
doi = "http://dx.doi.org/10.7494/OpMath.2005.25.1.139",
url = "http://dx.doi.org/10.7494/OpMath.2005.25.1.139",
abstract = "It is shown that the generalized creation and annihilation operators on Bargmann space of infinite order in a direction \(a=(a_1,a_2,\ldots) \in l^2\) are inductive limits of the creation and annihilation operator acting on Bargmann space of \(n\)-th order.",
keywords = "Hilbert space, Bargmann space, creation operator, annihilation operator, inductive limit",
issn = "1232-9274"
}