What is the product of two Dirac delta functions

  • #1

Homework Statement


What is the product of two Dirac delta functions

δ(Real(z-c))δ(Img(z-c))=?
'z' and 'c' are complex numbers.

This is not a problem, But I just need to use this formula in a derivation that I am currently doing. I just want the product of these two Dirac delta functions as a single/double Dirac delta function. I don't need the derivation, just the formula is enough.
 
Last edited:

Answers and Replies

  • #2
35,267
11,530
If your δ are real-valued delta distributions, that product is simply the complex-valued delta distribution, δ(z-c). You can verify this by integrating over the complex plane.
 

Related Threads on What is the product of two Dirac delta functions

Replies
3
Views
1K
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
4
Views
4K
  • Last Post
Replies
1
Views
2K
Replies
7
Views
2K
Replies
27
Views
2K
Replies
0
Views
8K
Replies
1
Views
5K
Top