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Integrate and Differentiate

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handsomeboy

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Hello all ^^
If let P=d/dt 1/P=Integrate(from -∞ to t)
In what condition that the following statement is true::

P*1/P*f(t)=1/P*P*f(t)=f(t)

thanks a lot
 

simply, if f belongs to L²(K)!!
 

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