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Math Help - Dirichlet's Kernel in Fourier Analysis

  1. #1
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    Dirichlet's Kernel in Fourier Analysis

    Prove that 1/2 \pi \intf(t)Dn(x-t)dt = 1/2 \pi \intf(x-t)Dn(t)dt
    the integral ranges from - \pi to \pi

    Dn represents the nth Dirichlet's Kernel, \sum e^ikx as k ranges from -n to n
    i tried a substitution where u = x - t which yield -du = dt
    so the integral i am getting is
    1/2 \pi \intf(t)Dn(x-t)dt = - 1/2 \pi \intf(x-u)Dn(u)du

    any help would be welcomed
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  2. #2
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    figured out my mistake
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