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Mathematics
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kkc
  • Member for 5 years, 8 months
  • Last seen more than 3 years ago
  • California, USA
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Student and aspiring mathematician hoping to learn more functional analysis

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View all questions and answers
question
5
For a Schwartz function $f$, if $\int_{\mathbb{R}} f(x) x^n dx = 0$ for all nonnegative integers $n$, is $f$ identically 0?
Dec 30, 2018
answer
5
Is there a way to find this limit algebraically? $\lim\limits_{x\to \infty} \frac{x}{\sqrt{x^2 + 1}}$
Jan 5, 2019
question
4
Find all solutions $T$ of $x^{2006} T = 0$ in the space of tempered distributions, $\mathcal{S}'(\mathbb{R})$
Jan 4, 2019
question
4
Identifying a dense subspace of a Hilbert space
Sep 2, 2019
question
3
For which values of $c$ is the function $f(x)$ in $W^{1,p}_{\mathrm{loc}} (\mathbb{R})$?
Jan 2, 2019
question
3
Given that $f \in L^2(\mathbb{T})$ and the sequence of Fourier coefficients $(\hat{f_n})\in l^1(\mathbb{Z})$, must $f$ be continuous?
Jan 4, 2019
question
3
Find the spectrum of the $L^2(0,1)$ integral operator $(Kf)(x)=\int_0^1 xy(1-xy)f(y)dy$
Sep 5, 2019
question
3
If $f \in L^1(\mathbb{R})$ and its Fourier transform has compact support, then $f(x) = \sum_{n \in \mathbb{Z}} f(n)\operatorname{sinc}(x-n)$
Aug 19, 2019
answer
2
Absolute value and limits
Sep 8, 2019
question
2
Multiplication operator $M_f$ defined by $M_f g = f(x) g(x)$ is compact iff $f \equiv 0$
Sep 2, 2019