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Math Help - Showing a kernel is valid

  1. #1
    Junior Member
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    Showing a kernel is valid

    Hi,
    I'm trying to show that the kernel K(x, t) = 1/(1-xt) is a a valid kernel.

    I guess I need to show that it reduces to an inner product somehow, but I cant quite see how.

    Thanks
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by Mathsdog View Post
    Hi, I'm trying to show that the kernel K(x, t) = 1/(1-xt) is a a valid kernel.

    It is rather difficult to understand the "spirit" of the statement. For example, where the function K is defined? . On what algebraic structures are we working?. Could you provide more details/hypothesis?.
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