Results 1 to 1 of 1

Thread: Distributional limit

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

    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; Feb 18th 2013 at 02:33 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: Feb 17th 2013, 10:50 AM
  2. Replies: 2
    Last Post: Sep 6th 2012, 10:09 AM
  3. Replies: 1
    Last Post: Aug 8th 2010, 12:29 PM
  4. Replies: 16
    Last Post: Nov 15th 2009, 05:18 PM
  5. Limit, Limit Superior, and Limit Inferior of a function
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: Sep 3rd 2009, 06:05 PM

Search Tags

/mathhelpforum @mathhelpforum