Summary: Show that for this family of functions the following semigroup property with respect to convolution holds.
Hi.
My task is to prove that for the family of functions defined as:
$$
f_{a}(x) = \frac{1}{a \pi} \cdot \frac{1}{1 + \frac{x^{2}}{a^{2}} }
$$
The following semigroup property...
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