Timeline for Approximating a subclass of $L^2(\mathbb{R})$ by Schwartz functions within similar subclass
Current License: CC BY-SA 4.0
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| Jun 18, 2021 at 7:21 | comment | added | Plussoyeur | I am not following. Why taking a sum of positive Schwartz functions? I am wondering about a density result. Take $f \in L^2(\mathbb{R}_+)$ a positive function such that $f = \sum_n f_n \mathscr{L}_n$ with $f_n \geq 0$. Does there exists $\{\phi_n\}$ positive Schwartz functions on $\mathbb{R}_+$ such that $\phi_n \longrightarrow_n f$ and $\phi_n = \sum_k a^n_k \mathscr{L}_k$ wiht $a^n_k \geq 0$ from a certain rank. | |
| Jun 17, 2021 at 23:20 | history | answered | Alexandre Eremenko | CC BY-SA 4.0 |