Quasi *-algebras and multiplication of distributions

A self-adjoint operator A in L-2(Omega, mu) defines in a natural way a space of test functions L-A(Omega) and a corresponding space of distributions L-A(1)(Omega). These are considered as quasi *-algebras and the problem of multiplying distributions is studied in terms of multiplication operators defined on a rigged Hilbert space. (C) 1997 Academic Press.