[unlikelymordant]

The fourier domain is just a linear transform of the time domain, i.e. just a matrix multiply away!

[datameta]

Could you expand please? I'm connecting the two via convolution but can't intuitively grasp the link yet.

[unlikelymordant]

The fourier transform converts between time domain and frequency domain. The fourier transform is linear, which means it can be implemented as multiplying your time domain signal by a matrix of complex fourier coefficients. Usually we dont do it this way because the fft is faster than matrix multplication, but the result is the same.

[bumby]

See “Laplace transform”

https://en.m.wikipedia.org/wiki/Laplace_transform