Multiplication of Distributions in one dimension: possible approaches and applications to $δ$-function and its derivatives

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225471We introduce a new class of multiplications of distributions in one dimension merging together two different regularizations of distributions. Some of the features of these multiplications are discussed in a certain detail. We use our theory to study a certain number of examples, involving products between Dirac delta functions and its successive derivatives.Mathematical PhysicsMultiplication of Distributions in one dimension: possible approaches and applications to $δ$-function and its derivativestext