Multiplications of Distributions in one dimension and a First Application to Quantum Field Theory

TL;DR

This paper extends previous work on multiplying distributions in one dimension, introduces new generalizations, and explores applications to delta functions and quantum field theory.

Contribution

It provides novel generalizations of distribution multiplication and applies these methods to delta functions and quantum field theory.

Findings

New methods for multiplying distributions in one dimension.

Applications to delta functions demonstrate the methods' utility.

Relevance to quantum field theory suggests potential for further research.

Abstract

In a previous paper we have introduced a class of multiplications of distributions in one dimension. Here we furnish different generalizations of the original definition and we discuss some applications of these procedures to the multiplication of delta functions and to quantum field theory.