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## Main Question or Discussion Point

I was wondering which are the properties of functions defined in such a way that

∫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 ?

∫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 ?