Going for some name dropping?
Euler, Lagrange, Gauss and others had also their fair share in all of this. When it comes down to modern usage I’ll guess it’s Gauss who can complain most. He invented FFT even before Fourier wrote about DFT in general, but his manuscript got only published posthum and got completely ignored.
I referred above to the fourier transformation, because it’s discrete variant (DFT) approximates a finite sequence in the time domain with a finite sequence in the frequency domain, which is exactly what you need in digital signal processing.
The discrete laplace transformation on the other hand (also known as z transformation) isn’t that handy, because you still get an infinite sum as result which needs further treatment.
Both have their usages, but DFT (and especially FFT to do it fast) is used a lot more in engineering.