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math.FA2009★ 1 cited
A multiplicative product of distributions and a class of ordinary differential equations with distributional coefficients
Nuno Costa Dias, Joao Nuno Prata
We construct a generalization of the multiplicative product of distributions presented by L. Hörmander in [L. Hörmander, {\it The analysis of linear partial differential operators…
math.FA2008
A multiplicative product of distributions and a global formulation of the confined Schrodinger equation
Nuno Costa Dias, Joao Nuno Prata
A concise derivation of a new multiplicative product of Schwartz distributions is presented. The new product is defined in the vector space of piecewise smooth f…