The restricted product is a construction in the theory of topological groups.
Let be sequence of locally compact groups together with a compact subgroup . The restricted product
is the set of sequences such that for all but finitely many . The restricted product is itself a locally compact Group. The best known example of this construction is that of the adele ring of an algebraic number field.
be sequence of locally compact groups together with a compact subgroup 
. The restricted product
such that 
for all but finitely many 
. The restricted product is itself a locally compact Group. The best known example of this construction is that of the