Topics

• There are numerous tasks that have to be done in spectroscopy. One of them consists in deconvolution of observed spectra knowing the resolution function, another one aims to find (or reconstruct) a distribution which leads to given spectrum, as e.g. in tomographic studies. When the number of data is not too large, the data are noisy, and moreover - incomplete, such tasks are exceedingly difficult and often impossible to be done by conventional methods. The Maximum Entropy Method (MEM) helps a lot in such cases, although its use is not always simple. The MEM was successfully used in reconstruction of the charge, spin and electron momentum density distributions. In the talk, the special emphasis will be put on the use of MEM in the reconstruction of the momentum density distributions and in the distribution of the hyperfine field parameters in Mössbauer spectra.