Message Boards Message Boards

0
|
4343 Views
|
2 Replies
|
1 Total Likes
View groups...
Share
Share this post:

Use Convolve with a Dirac Delta function?

Posted 5 years ago

In Wolfram Mathematica 11.3 Convolve[1, xDiracDelta[x], x, y] gives no result. But the equivalent function Integrate[xDiracDelta[x], {x, -[Infinity], [Infinity]}] gives the correct result which is 0.

POSTED BY: Pavel AZ
2 Replies

Try setting the GenerateConditions option to True to find a conditional expression where the results are valid.

Convolve[x DiracDelta[x], g[x] , x, y, 
 GenerateConditions -> True] (* 0 *)
Convolve[g[x], x DiracDelta[x], x, y, 
 GenerateConditions -> True] (* 0 *)

It appears that the answer is "0" for all conditions and for any function, g[x].

POSTED BY: Tim Laska
Posted 5 years ago

Yes, with this option it works properly.

POSTED BY: Pavel AZ
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract