This distribution appears in and is the reason for the name of the distribution solution to Poisson's equation. Generalizations of this to vector argu
This distribution appears in and is the reason for the name of the distribution solution to Poisson's equation. Generalizations of this to vector arguments are non-unique but can be determined by normalizing its all-space integral in light of any relevant symmetries. Reciprocity for Green's functions for self-adjoint operators results from the odd parity of this since Green's functions are the solutions to operator equations with this as the inhomogeneous term. Its convolution with a function gives the value of that function at the point where its argument vanishes by its sifting property. FTP, name this function defined by Dirac and named for a Greek letter.
This distribution appears in and is the reason for the name of the distribution solution to Poisson's equation.
Dirac delta function