White noise theory: from the beginning to recent results

The white noise theory is a stochastic theory developed by A.V. Balakrishnan as alternative theory to the Ito calculus for stochastic differential equations (SDE). Even if from a theoretical point of view the white noise theory is quite tricky, it allows one to overcome many problems that arise working with stochastic modeling and SDEs. Starting from the practical motivations that led Balakrishnan to develop this theory, we will go through the main results and motivations of the theory itself, from its foundations to our recent results