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Math Help - Distributional limit

  1. #1
    Senior Member Dinkydoe's Avatar
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    Dec 2009
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    Distributional limit

    Hoi, im little new on functional analysis stuff...and I want to calculate the distributional limit of u_{t,N}(x)= e^{itx}t^N defined for x\geq 0 and u_{t,N}(x)=0 elsewhere. So for any test-function \phi we have like \left\langle u_{t,N},\phi \right\rangle  = i \phi(0)t^{N-1} + i\left\langle u_{t,N-1},\phi' \right\rangle   by partial integration. (at least that is what Ive got....) . So how do we solve the distributional limit? Whats the idea...
    Last edited by Dinkydoe; February 18th 2013 at 01:33 AM.
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