Register to reply

This can not be so easy

by eljose79
Tags: None
Share this thread:
eljose79
#1
Apr4-03, 09:24 AM
P: 215
suppose we want to solve the integral equation

g(x)=Int(-1,1)exp(-xy)f(y)dy (2) then this is equal to

g(x)=Int(-infinite,infinite)exp(-xy)f(y)W(y)dy where the W(y) function is defined like that:

W(y) is 1 iif -1<y<1 and 0 elsewhere.

then we would have that the equation (2) is a fourier transform and inverting we can get f(x)W(x).


Is all that?..i can not believe that solving an integral equation could be so easy...
Phys.Org News Partner Mathematics news on Phys.org
Heat distributions help researchers to understand curved space
Professor quantifies how 'one thing leads to another'
Team announces construction of a formal computer-verified proof of the Kepler conjecture
HallsofIvy
#2
Apr4-03, 10:23 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,549
I'm afraid I don't quite understand your question.

You refer to g(x)=Int(-1,1)exp(-xy)f(y)dy as an "integral equation" so I presume you mean that g is given and you want to find f.

How does converting to the integral from -inf to inf make this a Fourier transform? Doesn't the Fourier transform have an exp(-ixy) in it?
ottjes
#3
Apr5-03, 06:18 AM
ottjes's Avatar
P: 24
think he forgot the i in the exp
but i don't know if you can add the W(y)


Register to reply

Related Discussions
Easy Derivative - Not easy for me, though! Calculus & Beyond Homework 5
Guys, I have 4 easy questions. (probably easy to you) Introductory Physics Homework 32
Easy gauss' law question that I wanna make sure I didn't make too easy Advanced Physics Homework 0
Something easy. Fun, Photos & Games 4
Easy, easy question-please help... Set Theory, Logic, Probability, Statistics 1