From where comes from Convolution function?

[Highlander-SP]

What's the development and author of Convolution function?

How do i develop it from the original idea?

tks

 

[aboozar.hamidipoor]

as you know;

the convolution function concept is the same as multiply function but in different domains. in fact the convolution concept is mixed with both frequency and time domain concepts. I think if you want to know where does convolution came from, you should find a conceptual relation between frequency and time domain first and then you get information about the base of fourier and laplas theory.
rgds.

 

[steve10]

Convolution is not a function, but an OPERATION, like ADDITION, SUBTRACTION, ....

In physics, a problem with distributed source is usually hard to solve, while a problem with point source is easy. So, a standard way to solve the complicated problem is to solve the problem with a point source first and then convolve the solution with the distributed source to obtain the solution of the original problem.

 

[Highlander-SP]

My question is about the author of Convolution operation. How is he desenvolved this operation? What was his origin point? ( Like Laplace has discovered the S transfor preparing a class for his student)

rgds

 

[zorro]

If I'm not wrong, the convolution integral is also known as "Duhamel integral". Probably was Duhamel who intruduced it.
Regards

Z