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Modelling of singularities given by discontinuous functions or distributionsby means of generalized functions has proved useful in many problems posed byphysical phenomena. We introduce in a systematic way generalized functions ofColombeau that model such singularities. Moreover, we evaluate some products ofsingularity-modelling generalized functions whenever the result admits anassociated distribution

Results on modelling and products of singularities in Colombeau algebra G(R)