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JZS's user avatar
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JZS
  • Member for 7 years, 9 months
  • Last seen more than a month ago
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question
4
For self-adjoint $T$ on $L^2(\mathbb{R}^n)$, when does $(1 + |x|)^{-1} (T - i \varepsilon)^{-1}(1 + |x|)^{-1}$ have a limit as $\varepsilon \to 0$?
Feb 18, 2016
question
4
Domain of Friedrichs extension of $-\partial^2_r + mr^{-2} : L^2(0,\infty) \to L^2(0,\infty)$
Jan 14, 2022
question
4
Chain rule for $e^f$, where $f$ has bounded variation
Jun 23, 2022
question
4
Is the Sobolev space $H^1(\mathbb{R})$ contained in the domain of $(-\partial_x \alpha(x) \partial_x)^{1/2}$?
Oct 12, 2022
question
4
Spectrum near zero of $-\partial^2_x + V : L^2(\mathbb{R}) \to L^2(\mathbb{R})$, where $V = O(|x|^{-2 - \delta})$
Dec 26, 2022
question
3
Meromorphic continuation of resolvent of free Laplacian on homogeneous Sobolev space
Apr 6, 2017
question
3
Is there a space of smooth functions dense in the domain of Coulomb-like potentials in dimension two?
Apr 13
question
2
Show that a very regular kernel $k(x,y)$ has operator $K : \mathcal{E}'(\Omega) \to \mathcal{D}'(\Omega)$ which is pseudo-local
Mar 3, 2016
question
2
Second order differential operator with a Lipschitz coefficient
Apr 24, 2022
question
1
Show that if $a$ belongs to the symbol class $S^m_{\rho , \delta}$ for $\rho > 1$, then in fact $a \in S^{-\infty}$
Jan 8, 2017
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38
Show that a proper continuous map from $X$ to locally compact $Y$ is closed
13
Finding $\displaystyle \lim_{n \to \infty} \int_0^\infty \frac{e^{-x}\cos{x}}{nx^2 + \frac{1}{n}}dx$
12
Determine $\lim\limits_{n \to \infty}{{n} \choose {\frac{n}{2}}}\frac{1}{2^n}$, where each $n$ is even
12
Cauchy sequences - can we control the rate at which elements "get closer"?
10
For $f$ entire and $\{f(kz) : k \in \mathbb{C}\}$ a normal family, prove that $f$ is a polynomial.

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