Fourier $L_2$-transform of distributions
Jan Pavel Kucera · Czechoslovak Mathematical Journal · 1969
has defined Fourier transform #" of elements of the space 9^' dual to Sf^ the Frechet space of "infinitely differentiable and rapidly decreasing functions".He has proved that ^ is an automorphism of 9'.Instead of 9 we define a sequence of Hubert spaces L2 => L2 => L^2 ^ • • • ^ «^ ^^^ ^^ш duals L2 cz L2 ^ с 00