Lecture 14: Fourier Transform, part III. Sobolev Spaces, part I

9 Abril 2019, 10:30 • Hugo Tavares

The derivative of a temperate distribution is a temperate distribution. A polynomial times a tempered distribution is a tempered distribution. Formulas for derivatives of tempered distributions. 
Introduction to the Sobolev Spaces W^{k,p}(Omega): definition, norms, examples, elementary properties.