For a locally compact group G and two closed subgroups H, K of G let N be the normalizer group of K in G and K\\\\G/H be the double coset spaces of G by H and K, respectively. The N-relatively invariant and N-invariant measures are defined for the double coset space K\\\\G/H and a necessary and sufficient condition for the existence of N-relatively invariant measure is given. Among other things, conditions under which there is an N-invariant measure are investigated.

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