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Results tagged with fa.functional-analysis
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user 498891
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Proving the uniqueness of the solution to a functional equation involving integral
Consider the functional equation
$$
g\left(a\right) = \int_0^1 \frac{e^{c(a,h)+f(h)}}{1+e^{c(a,h)+f(h)}}dh
$$
and this holds for all $a$. $g(a)$ and $c(a,h)$ are known functions on a continuous suppor …
