New posts in real-analysis

Proving convergent sequences are Cauchy sequences

real-analysis limits proof-verification cauchy-sequences

Identity operator on $L^2(\mathbb{R}^d)$

real-analysis functional-analysis measure-theory operator-theory integral-operators

Let $A,B$ be two measurable set with positive measure. Show that $A-B$ contains rational number

Countable sets problem [duplicate]

Where i am wrong? A question on uniformly continuous function in functional analysis.

real-analysis functional-analysis metric-spaces solution-verification proof-explanation

What are the functions for which ${f f''\over f'^2} < 2$?

real-analysis functional-analysis ordinary-differential-equations

proof verification: $f(x) = 1/x$ is not uniformly continuous on the open interval (0,1).

real-analysis proof-verification continuity

Trying to compute limit of singular integrals : $L= \lim_{s\to 1}(1-s)\int_{\Omega}\frac{(u(x)-u(y))}{|x-y|^{d+2s}} d y.$

real-analysis partial-differential-equations contour-integration greens-theorem singular-integrals

What's the sum of the reciprocals of the numbers that can be written as the sum of two positive cubes?

real-analysis sequences-and-series combinatorics number-theory zeta-functions

Are there functions $f,g:\mathbb{R} \to \mathbb{R}$ such that they differentiate each other?

real-analysis functions derivatives

Are these two Abel's criteria for uniform convergence different?

Lagrange inversion theorem and Legendre polynomials generating function

real-analysis complex-analysis power-series lagrange-inversion

Equality condition in Minkowski's inequality for $L^{\infty}$

real-analysis measure-theory inequality

prove that every continuous function is integrable

real-analysis proof-verification

Asymptotic behavior of $|f'(x)|^n e^{-f(x)}$

real-analysis asymptotics

Show that f is a polynomial

real-analysis complex-analysis polynomials fourier-analysis several-complex-variables

$\int_{\mathbb{R}}|f(t)|^2dt=\int_{\mathbb{R}}|f'(t)|^2dt$ implies $f(t)=\mathbb{x}_{i}|f(t)|$

real-analysis analysis multivariable-calculus

Showing that $\Omega$ is of class $C^1$

real-analysis analysis integration continuity

The set of all limits of sub-series of an absolute convergent series

real-analysis sequences-and-series limits

Find the integral that includes many level exponents