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**Home Assignment Y / Re: Problem 1**

« **on:**November 11, 2012, 11:39:44 PM »

In the last line, shouldn't the power to the second exponential be ikx instead of iky?

Yes, I think it is a small typo

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In the last line, shouldn't the power to the second exponential be ikx instead of iky?

Yes, I think it is a small typo

2

I think I'm on the wrong track or this question just doesn't seem to be integrable!

3

Does the condition "beta>0" matter in this question? Since it doesn't really enter the integral evaluation.

No, it does not (you may guess why).

We are worried about the possibility of the definite integrals values go to infinity.

When we evaluate the definite integrals, only the sign of the real part (alpha) matters, since beta is timed by i, its sign doesn't matter.

But then again, I think it's necessary to impose condition alpha and beta belongs to R

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Does the condition "beta>0" matter in this question? Since it doesn't really enter the integral evaluation.

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Sorry

Also, just to clarify, the 1/2pi term in front of FT could be a part of either Fourier integral or Fourier transform, where should we usually put it?

Also, just to clarify, the 1/2pi term in front of FT could be a part of either Fourier integral or Fourier transform, where should we usually put it?

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In part b and d, Does it matter if we change the trig into its complex form?

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In part a and b, does the word "exceptional" just mean where the expansion is not defined?

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