TO BE UPDATED
Introduction about topological vector spaces and locally convex topological vector spaces; metrizability. Frechet spaces. Spaces of test functions. Results on density. Definition of distribution. Order of a distribution. Positive distributions. Finite density distributions. Distributions with compact support. Calculus with distributions. Tensorial product of two distributions. Derivative. Study of some differential equations. Topology of D’. Convolution. Fourier transform. Sobolev spaces.