> ...turning the fourier series into the continous fourier transform Yes, if talking about the Fourier transform. My understanding was that author proposed tha

> ...turning the fourier series into the continous fourier transform Yes, if talking about the Fourier transform. My understanding was that author proposed that "trick" in context of discrete series for bounded non-periodic functions x(t), y(t). Instead, what followed was more like an extension to periodic function.