Sentence:  As it is known (see [11], [13], [21], [22]), the <WSD>quasiregular</WSD> representation on the hyperboloid decomposes into two series of irreducible unitary representations: continuous and discrete. 
Meaning of the word marked with <WSD> tags:  That is the result of a required adjustment of an (induced representation) that would, unadjusted, give rise to (only) a (quasi-invariant measure).