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 gi
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