On 10/15/2003 10:25 AM, John Mallinckrodt wrote:
>
> It's easy to see that all values of |k| up to |k| = pi/(halfwidth of
> the pulse) will be positive
I assume that meant to say that all values of |A(k)|
^^^^^^
would be positive, for all |k| less than pi/halfwidth.
Even so, I don't find it particularly easy to see.
How would you go about proving it?
Hint: It's easy to construct nontrivial counterexamples
... unless you put heavy restrictions on the shape of the
pulse.