  This paper presents the principles and application of a super-resolution (SR)
technique, based on a L1-Norm minimization procedure. In particular, the
technique is applied to improve low-resolution resolution spectra as obtained
from the optogalvanic effect in Neon and Argon discharges over the 413-423 nm
wavelength range. By applying the super-resolution algorithm to the
experimental data, a surprising 70-fold reduction of the linewidth is achieved
allowing to resolve prior indistinguishable peaks. It is found that further
improvements on the resolution are limited by the signal to noise ratio of the
original spectra. The importance of a suitable mathematical representation of
the experiment and the discussion on other applications of this
super-resolution technique in spectroscopy are also presented.
