Fourier transforms of certain classes of integrable functions
Fourier transforms of certain classes of integrable functions
This theorem characterizes those functions 4 E L. (oo, so) of the form +(x) = j (x) a.e. in terms of a continuity condition on the linear functional defined by F(f)= f f(x) b(x)dx for feL1(o,oo). Given a subset N c V(oo, cc) it is possible to ask whether additional …