Newbetuts

Every function on $\mathbb{R}^n$ that is continuous in each variable separately is Borel measurable.

When calculating integrals, why replacing factorials with $\Gamma$ so often works?

Convergence of the function series $\sum \frac{n!}{(nx)^n}$ for $x<0$

Walter rudin 9.32

Analytic number theory primer -- sequences and series

This integral is defined ? $\displaystyle\int_0^0\frac 1x\:dx$

Geometric series of an operator

Incorrect proof of Hahn Banach Theorem

Showing that a totally bounded set is relatively compact (closure is compact)

Show that there is sequence of homeomorphism polynomials on [0,1] that converge uniformly to homeomorphism

The inner product of the Cartesian Product space

Prob. 8, Sec. 3.5 in Erwin Kreyszig's Introductory Functoinal Anlaysis With Applications

Maximum of $\frac{\sin z}{z}$ in the closed unit disc.

Limit power series at boundary [duplicate]

For which $s\in\mathbb R$, is $H^s(\mathbb T)$ a Banach algebra?

New posts in analysis

Hardy's inequality again

If $\int_A f\,dm = 0$ for all $A$ having some fixed measure $C$, then $f = 0$ almost everywhere

Can all subseries of an infinite series be pairwise independent over $\mathbb{Q}$?

Estimating rate of blow up of an ODE

Real Analysis : Self Studying vs Doing a Course

Every function on $\mathbb{R}^n$ that is continuous in each variable separately is Borel measurable.

When calculating integrals, why replacing factorials with $\Gamma$ so often works?

Convergence of the function series $\sum \frac{n!}{(nx)^n}$ for $x<0$

Walter rudin 9.32

Analytic number theory primer -- sequences and series

This integral is defined ? $\displaystyle\int_0^0\frac 1x\:dx$

Geometric series of an operator

Incorrect proof of Hahn Banach Theorem

Showing that a totally bounded set is relatively compact (closure is compact)

Show that there is sequence of homeomorphism polynomials on [0,1] that converge uniformly to homeomorphism

The inner product of the Cartesian Product space

Prob. 8, Sec. 3.5 in Erwin Kreyszig's Introductory Functoinal Anlaysis With Applications

Maximum of $\frac{\sin z}{z}$ in the closed unit disc.

Limit power series at boundary [duplicate]

For which $s\in\mathbb R$, is $H^s(\mathbb T)$ a Banach algebra?