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Results tagged with fa.functional-analysis
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user 18931
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Reference Search for a Functional Minimization Problem
Let $u(x) \ge 0$ be a non-negative, piecewise-differentiable function on the real line. Moreover, let $u(x)$ be integrable with fixed positive mass, that is
$$M \equiv\int_{x=-\infty}^\infty u(x) ~ d …
- 151
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How to isolate $f(x)$ in $f(x+a)=f(x)+a\times g(x)$?
The answer is not unique - you can add any function of period $a$ to f. This is what the singularities are trying to tell you. In a distributional sense, the Fourier transform of a function of period …
- 151