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Mathematics
Oğuzhan Kılıç's user avatar
Oğuzhan Kılıç's user avatar
Oğuzhan Kılıç's user avatar
Oğuzhan Kılıç
  • Member for 8 years, 7 months
  • Last seen this week
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7
Prove that $\nu$ is absolutely continuous w.r.t. $\mu$ iff $\sum \alpha_j^2<\infty$
May 24, 2022
5
Let $f:[0,\infty)\rightarrow\mathbb{R}$ be a continuous function which is neither bounded below nor bounded above.
Aug 11, 2021
3
Solve integral $\int_0^{2\pi}\frac{\sin^2\frac{(N+1)x}{2}}{2\pi(N+1)\sin^2\frac x2} dx $
Sep 23, 2021
2
Spectrum (eigenvalues) and their relation to Projection Valued Measures(PVM)
Oct 29, 2020
2
Let $A$ and $B$ closed operators. Show $\|Ax\|=\|Bx\|$ for all $x\in D(A)=D(B)$ iff $A^*A=B^*B$
Nov 26, 2020
2
Explosion of the moment of double stochastic exponential
Apr 23
2
Prob. 12, Sec. 30, in Munkres' TOPOLOGY, 2nd ed: Is a continuous image of a first- / second-countable space is first- / second-countable?
Apr 22
2
Find a function f such that $f\in D(|A|^{1/2})$ but $f\notin D(A)$ where $(Af)(x)=\ln(x)f(x)$
Jul 15, 2021
2
Finding the orthogonal complement of a particular closed subspace of $l^2$
May 24, 2025
2
Let $\Gamma$ be differentiable Jordan curve in $\rho(A)$. Show that $\chi_\Omega(A)=\int_\Gamma R_A(z)dz$
Aug 13, 2021