Register to reply

Associative property of convolution

by sainistar
Tags: associative, convolution, property
Share this thread:
sainistar
#1
Sep9-11, 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
Attached Files
File Type: pdf convproblem.pdf (90.5 KB, 15 views)
Phys.Org News Partner Science news on Phys.org
Wildfires and other burns play bigger role in climate change, professor finds
SR Labs research to expose BadUSB next week in Vegas
New study advances 'DNA revolution,' tells butterflies' evolutionary history
micromass
#2
Sep9-11, 02:30 PM
Mentor
micromass's Avatar
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...
sainistar
#3
Sep9-11, 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