Could you please give any reference to literature on "separation o peaks", i.e. approximation of a numerically given function by a linear combination of two or several Gaussians with unknown parameters? Or, maybe there exists a theory covering a more general class of functions (not only Gaussians)?
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There is an extensive literature on "separation of peaks", under the technical name "Multivariate Curve Resolution". This is a 2013 review [paywall] and this is a 2006 review [free download]. Software that will do this for you is available here.
answered Sep 14, 2015 at 16:22
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$\begingroup$ Thank you very much! In fact, I am interested in the mathematical background, and not in software. (Actually, I wonder if I can contribute something as a mathematician.) $\endgroup$ Commented Sep 14, 2015 at 17:47
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$\begingroup$ the 2006 review is oriented towards the mathematical background $\endgroup$ Commented Sep 14, 2015 at 17:48