# Tagged Questions

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### Where find proof of such theorem about uniform convergence of differences

Where to find a proof of theorem which says that: if a funcion $f: \mathbb R \rightarrow \mathbb R$ is bounded on a set of positive Lebesque measure or on the set of second category with Baire propert ...
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### Complex evaluation of a classical (real) integral

There are several ways to compute the classical integral $$\int_{\mathbb R}e^{-x^2}dx=\sqrt{\pi}.$$ Probably, best known are (1) squaring the integral with subsequent change of (now two) variables ...
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### Limit connected with a periodic function

I am posting the following question from Math.Stackexchange: Let $f$ be a $1$-periodic function, i.e., $f(x+1)=f(x)$, defined on the interval $(0, 1)$ by the formula $$f(x)=2x-1.$$ For a real ...
Does anyone know of some good references for a fractional Leibniz rule for pseudo-differential operators of negative order? As a specific example, I would like to compute $\partial_{x}^{-1}(uv)$, ...