TY  - JOUR
ID  - Stochel2005
LB  - Stochel2005
AU  - Stochel, Jerzy
TI  - A note on inductive limit model of Bargmann space of infinite order
ST  - A note on inductive limit model of Bargmann space of infinite order
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2005
VL  - 25
IS  - 1
SP  - 139
EP  - 148
DO  - http://dx.doi.org/10.7494/OpMath.2005.25.1.139
UR  - http://dx.doi.org/10.7494/OpMath.2005.25.1.139
AB  - 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.
KW  - Hilbert space
KW  - Bargmann space
KW  - creation operator
KW  - annihilation operator
KW  - inductive limit
SN  - 1232-9274
ER  -