Recent content by JohnXYZ

  1. J

    Integral equation with bounded unknown kernel

    Thank you for your answer, I will also try your approach. Working from K'' may still be difficult since we have a boundedness condition on K.
  2. J

    Integral equation with bounded unknown kernel

    I need to solve an integral equation of the form $$\forall \omega \in [0,1], ~ \int_{\mathbb{R}} K(\omega,y)f(y)dy = \omega$$ where - f is known and positive with $$\int_{\mathbb{R}} f(y)dy = 1$$ - K: [0,1] x R -> [0,1] is the unknown kernel I am looking for a solution other than...
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