On the Ideals in L¹-algebra of the Heisenberg group

It is known that the theory of ideals in L¹-algebra of a locqally compact group played an important role in Harmonic analysis, specially in spectral synthesis, spectral theory. The theory of locally compact abelian groups was developed by many mathematicians [2], [4], [7] and [8,9]. By a transformation which is associated to the semi-direct product of groups, we construct our method that gives a relationship between commutative and non commutative algebra. This idea helps us to give a classification of the ideals in L1-algebra of the Heisenberg group.