New posts in analysis

Example of differentiable function which has non-zero quadratic variation

Uniqueness of meromorphic continuation

Showing that the "left-hand limit function" is left continuous

Possible values of $\int \frac{dz}{\sqrt{1-z^2}}$ over a closed curve in a region?

Questions about Proof of Lusin's Theorem

compact set always contains its supremum and infimum

Why is this sum equal to $0$?

Show that if $f$ is continuous on [0,1], then: $\int_0^\frac\pi 2 f(\sin x)dx=\int_0^\frac\pi 2 f(\cos x)dx= \frac12\int_0^\pi f(\sin x)dx$

Epsilon delta for proving $x^2$ is continuous for $x<0$

Uniform convergence of $f_n(x)=nx^n(1-x)$ for $x \in [0,1]$?

How to prove that the implicit function theorem implies the inverse function theorem?

Infinite Product computation

Theorem 9.34 Rudin

Fourier Series involving the Jacobi Symbol

Problem on exponential of entire function

How to prove this relation between the laplacian of the logarithm and the dirac delta function?

A proof of the fact that the Fourier transform is not surjective from $\mathcal{L}^1(\mathbb{R})$ to $C_0( \mathbb{R})$

Convergence of $\sum \frac{(2n)!}{n!n!}\frac{1}{4^n}$

Absolutely continuous spectrum invariant under unitary equivalence

Positive integers $k = p_{1}^{r_{1}} \cdots p_{n}^{r_{n}} > 1$ satisfying $\sum_{i = 1}^{n} p_{i}^{-r_{i}} < 1$