I was wondering which are the properties of functions defined in such a way that(adsbygoogle = window.adsbygoogle || []).push({});

∫dx f(y-x) g(x-z) = δ(y-z)

where δ is Dirac delta and therefore g is a kind of inverse function of f (I see this integral

as the continuous limit of the product of a matrix by its inverse, in which case the δ becomes the identity matrix). Does anyone know where this type of "inverse functions" are

discussed? or how to obtain the function g given f ?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Use of Dirac delta to define an inverse

**Physics Forums | Science Articles, Homework Help, Discussion**