Results 1 to 4 of 4

Math Help - Interesting Question...

  1. #1
    Junior Member
    Joined
    Oct 2009
    Posts
    25

    Interesting Question...

    I have a question here that reads as follows:

    Suppose that g(t) is such that the Fourier Transform g'(s) is zero outside [a,b]. Show that g(t) is determined uniquely by its values at a sequence of points spaced 1 / (b-a) units apart.

    Any help is greatly appreciated!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Oct 2009
    Posts
    25

    Additional details

    If additional details are needed, please let me know!
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2009
    Posts
    195
    Quote Originally Posted by Majialin View Post
    I have a question here that reads as follows:

    Suppose that g(t) is such that the Fourier Transform g'(s) is zero outside [a,b]. Show that g(t) is determined uniquely by its values at a sequence of points spaced 1 / (b-a) units apart.

    Any help is greatly appreciated!
    Okay, just to clarify:

    g'(s) = \int_{-\infty}^{\infty}g(t)e^{-ist}dt<br />
    and

    g'(s) = 0 for s < a, s >b
    g'(s) \not\equiv 0 elsewhere

    Is this the transform you're describing?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Oct 2009
    Posts
    25

    Clarification

    The notation for g'(s) should actually be g(s) with a "^" above the g. I think that is the right transform though...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. interesting question
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: March 8th 2010, 01:41 PM
  2. Interesting question
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: April 22nd 2009, 07:02 PM
  3. Interesting Question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 12th 2008, 06:26 PM
  4. interesting question
    Posted in the Advanced Applied Math Forum
    Replies: 7
    Last Post: October 11th 2007, 10:48 PM
  5. Interesting Question
    Posted in the Calculus Forum
    Replies: 6
    Last Post: March 5th 2006, 02:24 PM

Search Tags


/mathhelpforum @mathhelpforum