- #1
mnb96
- 715
- 5
Hello,
I noticed that it is possible to define an inverse for the convolution operator so that a function f convolved by its convolution-inverse [tex]f^{\ast-1}[/tex] gives the delta-function: [tex]f \ast f^{\ast-1} = \delta[/tex]
http://en.wikipedia.org/wiki/Convolution#Convolution_inverse
Which is the family of functions that admits this convolution inverse?
I noticed that it is possible to define an inverse for the convolution operator so that a function f convolved by its convolution-inverse [tex]f^{\ast-1}[/tex] gives the delta-function: [tex]f \ast f^{\ast-1} = \delta[/tex]
http://en.wikipedia.org/wiki/Convolution#Convolution_inverse
Which is the family of functions that admits this convolution inverse?