In January, 1949, Shannon publishes the paper *Communication in the Presence of Noise*, Proc. IRE, Vol. 37, no. 1, pp. 10-21, available [here](http://www.stanford.edu/class/ee104/shannonpaper.pdf), which establishes the Information Theory. In this paper, the sampling theorem is presented. 


Any references about the **history** of the sampling theorem, its connection with Fourier theory, would be appreciated. 


EDIT1: In C.E. Shannon, *Mathematical Theory of Communication*, Bell System Technical Journal, Vol. 27, pp. 379–423, 623–656, July, October, 1948, available [here](http://cm.bell-labs.com/cm/ms/what/shannonday/shannon1948.pdf), the Sampling Theorem is **Theorem 13**. 



History of the Sampling Theorem
As a start to a more comprehensive search, some notes on interpolation using the Dirichlet and Fejer kernels, close cousins of the sinc kernel, can be found in "[Leopold Fejer: In Memoriam 1880-1959](https://www.ams.org/journals/bull/1960-66-05/S0002-9904-1960-10441-7/S0002-9904-1960-10441-7.pdf)" by Gabor Szego.


And, you yourself in your answer to [MO-Q58325](https://mathoverflow.net/questions/58325/complex-fourier-coefficients-introduced-by/93375#93375) present a link to a paper by J. de Seguier, published in 1892, that has a Dirichlet kernel interpolation formula and a series that looks suspiciously like a sinc interpolation with the bandwidth $\omega$.


Edit: In the old days, the sinc function was referred to as the cardinal interpolation function and sinc function interpolations as cardinal series. Here is an article (1927) by J. M. Whittaker (son of E. T.:) [The "Fourier" Theory of the Cardinal Function](http://journals.cambridge.org/download.php?file=%252FPEM%252FPEM2_1_03%252FS0013091500013511a.pdf&code=726feb41c839d875f111c69b82140018) in which you can find the nascent Whittaker-Shannon sampling theorem, but E. T. Whittaker published an earlier one in 1915 as discussed by H. D. Luke in [The Origins of the Sampling Theorem](https://www.cse.iitd.ernet.in/%7Epkalra/sil801/read/sampling.pdf).


Of interest also: "A Chronology of Interpolation: From Ancient Astronomy to Modern Signal and Image Processing" by Erik Meijering ([paper](https://imagescience.org/meijering/publications/1015/)) ([website](http://www.imagescience.org/meijering/research/chronology/)).


