Multiplication property of laplace transform

1. What is multiplication by T properties of Laplace transform?
2. Can Laplace transforms be multiplied together?

What is multiplication by T properties of Laplace transform?

which proves the theorem for n=1. This shows that the theorem is true for n=k from Equation (2) and for n=k+1, from Equation (3). From Equation (1), the theorem is true for n=1.

Can Laplace transforms be multiplied together?

δ(ξ − s)F(ξ)G(ξ)dξ = F(s)G(s), which is the well-known result that the Laplace transform of the convolution of two function is the product of their Laplace transforms.