New posts in real-analysis

Integral $I=\int_0^\infty \frac{\ln(1+x) \operatorname{Li}_2 (-x)}{x^{3/2}} dx$

real-analysis integration definite-integrals special-functions contour-integration

“Visualizing” Mathematical Objects - Tips & Tricks

real-analysis measure-theory soft-question self-learning

On the stochastic definition of $e$

real-analysis probability

Recursive Sequence $a_n = \frac{1}{2} (a_{n-1} + 5) $

real-analysis sequences-and-series limits recurrence-relations

Differentiation under the integral sign and uniform integrability

real-analysis measure-theory derivatives lebesgue-integral uniform-integrability

Convergence of a series of translations of a Lebesgue integrable function

real-analysis measure-theory convergence-divergence lebesgue-integral lebesgue-measure

Corollary of the Malgrange Preparation Theorem

real-analysis analysis modules dynamical-systems germs

Lebesgue - Radon - Nikodym Theorem: Question about $\sigma$-finite case

real-analysis measure-theory proof-writing solution-verification

Prove that $e^n\bmod 1$ is dense in $[0,1]$

real-analysis

Special version of Tonelli’s theorem

real-analysis lp-spaces nonlinear-optimization calculus-of-variations

Is the natural map $L^p(X) \otimes L^p(Y) \to L^p(X \times Y)$ injective?

linear-algebra real-analysis functional-analysis

How to prove that the Cantor ternary function is not weakly differentiable?

real-analysis distribution-theory

Is the set defined by y=sin(1/x) open or closed?

real-analysis general-topology

Proof that the limit of the normal distribution for a standard deviation approximating 0 is the dirac delta function.

real-analysis limits distribution-theory

Least upper bound property implies Cauchy completeness

real-analysis real-numbers ordered-fields

A few counterexamples in the convergence of functions

real-analysis measure-theory convergence-divergence

Does $\lim \frac{xy}{x+y}$ exist at $(0,0)$?

real-analysis multivariable-calculus

Easy but hard question regarding concave functions!

real-analysis convex-analysis

If $f_{k}\overset{m}{\to}f$ on $E\subset \mathbb{R}^{n}$, there is a subsequence $f_{k_{j}}$ such that $f_{k_{j}}\to f$ a.e in $E$

real-analysis measure-theory

Parallelogram law functional equation: $ f ( x + y ) + f ( x - y ) = 2 \big( f ( x ) + f ( y ) \big) $

real-analysis recreational-mathematics functional-equations