Summary of different Fourier Transforms / Fourier Series

Question

I am currently writing my PhD and would like to display a table summing up the different kind of Fourier Transforms and Fourier Series. Here is the table I got from my different readings (mostly Oppenheim, A. V., Schafer, R. W., & Buck, J. R. (1999). Discrete-time signal processing and Percival, D. B., & Walden, A. T. (1998). Spectral analysis for physical applications):

Is this table right?

Answer 1

A very nice article about the different kind of Fourier transforms as well as their interpretation is available on the Gaussian Waves website : http://www.gaussianwaves.com/2015/11/interpreting-fft-results-complex-dft-frequency-bins-and-fftshift/