Register to reply 
Associative property of convolution 
Share this thread: 
#1
Sep911, 02:12 PM

P: 4

Hi There
The associative property of convolution is proved in literature for infinite interval. I want to prove the associative property of convolution for finite interval. I have explained the problem in the attached pdf file. Any help is appreciated. Regards Aman 


#2
Sep911, 02:30 PM

Mentor
P: 18,086

Integral (10) is obviously wrong. Your two integrals have [itex]\theta[/itex] in their bounds. But [itex]\theta[/itex] is an integration variable!! This can't be correct.
Why do you obtain something wrong here. Because after equation (3) they applied Fubini and switched the both integrals, and THEN they did the substitution. You must do something similar. Apply Fubini after (9). But Fubini will in this case not be simply switching the integral signs... 


#3
Sep911, 08:51 PM

P: 4

Thanks micromass
I was looking for the Fubini theorem when the bound are the integration variable. I did not find any. Can you please let me know any source i can read. It will also be helpful if you can suggest how can i apply Fubini after (9). Regards 


Register to reply 
Related Discussions  
Can you explain this property of convolution?  Calculus  0  
Associative law  Linear & Abstract Algebra  1  
Associative Law...help please..thanks!  Calculus & Beyond Homework  4  
Convolution Property  Precalculus Mathematics Homework  3  
Is science a property of nature or a property of us?  General Discussion  13 