Before revision: It is more; it is anisomorphism , in that it is invertible, and it isometric, in that it satisfie
After revision: It is more; it is an isomorphism , in that it is invertible, and it isometric, in that it satisfiesThe Laplace transform is "half" of a Fourier transform; from the decompositionone then obtains an orthogonal decomposition of into two Hardy spacesThis is essentially the Paley-Wiener theorem