DOI: 10.7494/opmath.2005.25.1.139 ISSN: 1232-9274

A note on inductive limit model of Bargmann space of infinite order

Jerzy Stochel

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.

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