Singular Products of Distributions.
B. Fisher (1973)
Mathematische Annalen
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B. Fisher (1973)
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MSC 2010: 46F30, 46F10 Modelling of singularities given by discontinuous functions or distributions by means of generalized functions has proved useful in many problems posed by physical phenomena. We introduce in a systematic way generalized functions of Colombeau that model such singularities. Moreover, we evaluate some products of singularity-modelling generalized functions whenever the result admits an associated distribution.
W.N. EVERITT (1964)
Mathematische Annalen
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Blagovest Damyanov (2015)
Commentationes Mathematicae Universitatis Carolinae
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Models of singularities given by discontinuous functions or distributions by means of generalized functions of Colombeau have proved useful in many problems posed by physical phenomena. In this paper, we introduce in a systematic way generalized functions that model singularities given by distributions with singular point support. Furthermore, we evaluate various products of such generalized models when the results admit associated distributions. The obtained results follow the idea...
W.N. EVERITT (1963)
Mathematische Annalen
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