
282 Commutation Relations, Normal Ordering, and Stirling Numbers
8.2 Normal Ordering in Special Ore Extensions
Ore extensions were introduced in Section 8.1.3.1, and it was discussed that all gen-
eralized Weyl algebras considered in the present book can be viewed as special instances
of Ore extensions. Thus, it seems interesting to consider normal ordering in the general
framework of Ore extensions. This is what we do in the present section, where the base ring
is the commutative unital ring of polynomials C[V ]. For the following considerations, an
expression will be said to be normal ordered (resp. antinormal ordered), if all the powers of
U stand ...