A non group theoretic proof of completeness of arbitrary coherent states   $D(\alpha)\mid f>$
  A new proof for the completeness of the coherent states $D(\alpha )\mid f>$ for the Heisenberg Weyl group and the groups $SU(2)$ and $SU(1,1)$ is presented. Generalizations of these results and their consequences are disussed. 
G.S.Agarwal and S. Chaturvedi