Is anyone able to prove, or provide a counter example to the following: let be a non-negative function, then the Fourier transform of , say, takes its maximum absolute value at . i.e.
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Originally Posted by Ed209 Is anyone able to prove, or provide a counter example to the following: let be a non-negative function, then the Fourier transform of , say, takes its maximum absolute value at . i.e. Now: So: but as is non-negative this is: etc CB
Nice! I was just about to post the same proof as I figured it out yesterday, but thank you. Its quite a nice results actually, and imo not particularly intuitive
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