Reciprocal Convergence Classes for Fourier Series and Integrals
Reciprocal Convergence Classes for Fourier Series and Integrals
The classical result of Plancherel for Fourier cosine transforms of functions f ( x ) of the class L 2 (0, ∞) states that (see ( 7 ) for references) converges in mean square to a function g(x) which also belongs to L 2 (0, ∞), and furthermore Some years …