1,648 reputation
616
bio website nicolasessisbreton.com
location Montreal, Canada
age 29
visits member for 2 years, 8 months
seen 3 hours ago

I'm a graduate math student at Concordia University, Montreal.


Oct
29
accepted Show $|\left(e^{-ixt}-1 \right)/t| \le |x|$, $x ,t\ne 0$
Oct
29
accepted Expressing the cantor function on $[0,1]$ as a function on $\text{Ternary}([0,1])$
Oct
29
accepted Show $\exists \{g_n\} \subset C_c^\infty$ such that $(f \ast g_n)(x) \to f(x)$ a.e., when $f \in L^1_\text{loc}$
Oct
25
accepted Probabilistic calulation of the Fourier transform of the Cantor function
Oct
25
accepted Fourier transform of the Cantor function
Oct
23
accepted $E \left\{ \left( \sum_{i=0}^{n-1} \left[ B_{c_i} \left( B_{t_{i+1}} - B_{t_i}\right)\right] \right)^2 \right\}$, where $c_i \in [t_i, t_{i+1}]$
Oct
22
accepted $f \in L^1(\mathbb R), f>0$ then $|\hat f(y)| < \hat f(0), y \ne 0$
Oct
21
accepted If the Fourier series of $f$ is absolutely convergent does it implies that it converges to f
Oct
20
accepted Brownian motion: changing the order of expectation and integration in $E \left( \int_s^t B_x dx \mid F_s \right)$
Oct
18
accepted $f$ absolutely continuous, $\hat f(n) \downarrow 0$, $\hat f(n)$ positive and even, then $\sum \hat f_n <\infty$
Oct
18
accepted If $f$ is absolutely continuous then $\sum|\hat f (n) | < \infty$
Oct
16
accepted Find the rate of growth for $\sum_{n=1}^N 1/n^p$ in term of big $O$ notation
Oct
16
accepted Show from every positive sequence decreasing to zero, we can build a sequence satisfying a concavity condition
Oct
16
accepted Derivating $f(t)=\int_0^t x dx$ using measure theory
Oct
16
accepted Convergence of the Fourier series of $f(t)=(t-\pi)\chi_{\left(0,2\pi\right)}$
Oct
15
accepted Inequality for term of a positive sequence : show $\frac{1}{n} \ge c_n - c_{n+1} \ge \frac{1}{n+1}$
Oct
15
accepted Find an inequality for $\|f\|_p$ when $f=f \chi_E+f\chi_{\tilde E}$ and $m(E)=m(\{x:|f|> 1\})<\infty$
Oct
13
accepted Show $\left\lvert\sum_{k=-n}^n \frac{\sin k t }{k}\right\rvert \le \pi + 2$ for all $n$ and $t$, $t \in [0,2\pi]$
Oct
9
accepted Show $\exists f \in C \ni \|f\|_\infty \le 1$, but it's Fourier series diverges
Oct
9
accepted Brownian motion: Show $\lim \sum W_{i} (W_{i+1}-W_{i})=\frac12 W^2_t-\frac12 t$ in probability.