New posts in characteristic-functions

Convergence of characteristic functions to $1$ on a neighborhood of $0$ and weak convergence

When can limit of a sequence of characteristic be also a characteristic function?

Continuous probability distribution with no first moment but the characteristic function is differentiable

How can I get distribution function from characteristic function?

Showing an identity of two uniform distributed random variables by using characteristic functions and the inversion formula

Weak convergence of a sequence $(f_n) \subset L^2(\mathbb{R})$ and convergence of $\chi_n f_n$

Characteristic function of a standard normal random variable

A criterion for independence based on Characteristic function

$X$ and $Y$ i.i.d., $X+Y$ and $X-Y$ independent, $\mathbb{E}(X)=0 $ and $\mathbb{E}(X^2)=1$. Show $X \sim N(0,1)$

Show that : $1 - |\phi(t)| \ge \frac{1-|\phi(2t)|}{4}$ [closed]

Moment generating functions/ Characteristic functions of $X,Y$ factor implies $X,Y$ independent.