Plancherel theorem: Difference between revisions

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AneasSu (talk | contribs)
Added a proof, without removing the lead section. A proof may help many learners to understand it, so if its layout is inappropriate, please be so kind to fix it instead of deleting the proof.
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AneasSu (talk | contribs)
Clarified the assumption. If there are mistakes, please do not delete the proof when fixing it
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== Proof ==
'''Assumption.''' <math>f\in L^1 \cap L^2</math>, i.e. <math>\int |f(x)|dx, \int |f(x)|^2 dx<\infty</math>
 
'''Step 1. The equality holds if ''f'' is differentiable and ''f'<nowiki/>'' is bounded'''