This course gives the fundamental concepts of generalized functions.

Test functions, Generalized functions, Local properties of generalized functions, Translations, rotations and other linear transformations on the independent variables of generalized functions, Regularization of divergent integrals, Convergence of generalized function sequences, Complex test functions and generalized functions, Differentiation and integration of generalized functions, Delta-convergent sequences, Some generalized functions , Canonical regularization.