The windowed Fourier transform on R

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The windowed Fourier transform on R


Defi nition-Proposition-Theorems (Plancherel formula-Parseval formula-inversion formula-Calderon's formula)

http://www.4shared.com/office/b2Ho5n7H/The_windowed_Fourier_transform.html
 

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I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon the following theorem which is a direct consequence of the Cauchy-Goursat theorem: Let ##f:D\to\mathbb{C}## be an anlytic function over a simply connected region ##D##. If ##a## and ##z## are part of...
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