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Results tagged with fa.functional-analysis
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user 11131
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Solving Functional Equation
Continue with my previous question “Regarding Kolmogorov's Superposition Theorem”, here are some further questions:
Question-1
Is it true: for any given $C^1$ continuous real function $f(x, y): \Re^2 …
CommunityBot
- 1
1
vote
Solving Functional Equation
So far what I can think of on this question is:
Rewrite $u(f(x,y))=u(x)\Psi(\frac{w(x,y)}{u(x)})$ as:
$\frac {u(f(x,y))}{u(x)}=\Psi(\frac {w(x,y)}{u(x)})$
Since $\Psi$ can be arbitrary, we can furthe …
- 103