  In a recent preprint Kodiyalam and Verma give a particularly simple Gelfand
model for the symmetric group that is built naturally on the space of
involutions. In this manuscript we give a natural extension of Kodiyalam and
Verma's model to a Gelfand model for Weyl groups of type B_{n} and D_{2n+1}.
Then we define an explicit isomorphism between this Gelfand model and the
polynomial model using a technique that we call telescopic decomposition.
