If you submitted paper to an editor and find a referee may violate the professional ethics, say, a report full of mistakes and bias, having you wait for years for his/her report, etc, where should you complain?
The spaces $\mathcal{L}^2(\mathbb{R})$ (square-integrable functions) and $\mathcal{L}^2(\mathbb{T})$ (1-periodic square-integrable functions, considered over the real line $\mathbb{R}$) are two subspaces of the space of tempered distributions $\mathcal{S}'(\mathbb{R})$ and one can easily show tha...
Assume that the irreducible polynomial $f\in k[x_1,\ldots, x_n]$ is a slice of some derivation $D$. (being a slice is equivalent to $(f'_{x_1},\ldots, f'_{x_n}) = (1)$) Under which additional assumtions on $f, D$ we get that $k[x_1,\ldots, x_n] = k[f, y_1,\ldots, y_{n-1}]$ for some $y_i$ i.e. $f...
The periodization operator $\mathrm{Per}$ is defined for a Schwartz function $\varphi \in \mathcal{S}(\mathbb{R})$ as \begin{equation} \mathrm{Per} \{ \varphi \} (x) = \sum_{n \in \mathbb{Z}} \varphi( x - n ), \quad \forall x \in \mathbb{R}. \tag{1} \end{equation} The sum in (1) is of course wel...
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