The Limit-in Versus Limit-out Approach to the Dirac Delta

Jan Eidissen Posada
2018 Figshare  
A critical review of the integral representation of the Dirac delta distribution regarding the strong requirements imposed on test functions and their possible disadvantages for physical theories, coupled with a new approach to the beast and a newly proposed integral representation that fulfills the sifting property for any continuous function or field. This is the final preprint to be submitted to arxiv and sent for peer review. Enjoy!
doi:10.6084/m9.figshare.5917207.v1 fatcat:kdmu7qhiwjemncwn2tf66t5hje