real analysis related issues & queries in MathXchanger

inverse of a bounded linear operator

functional-analysis operator-theory operator-algebras c-star-algebras compact-operators
Updated October 18, 2018 14:20 PM

Prove that the $2Area(\omega) \leq length(\gamma)distance(\gamma)$

integration complex-analysis multivariable-calculus proof-writing vector-analysis
Updated October 18, 2018 14:20 PM

Is $\lim_{n \to \infty} \left(1+\dfrac {x}{n} \right)^{n-1} = e^x$

calculus real-analysis limits
Updated October 18, 2018 14:20 PM

The series $\sum_n^\infty a_n^p$ where $\{a_n\}_{n=1}^\infty$ is a convergent, strictly positive sequence

real-analysis sequences-and-series proof-verification convergence summation
Updated October 18, 2018 12:20 PM

Properties of sum of two metrics

real-analysis functional-analysis metric-spaces
Updated October 18, 2018 12:20 PM

Do we have integral test for double series?

calculus real-analysis integration sequences-and-series
Updated October 18, 2018 12:20 PM

Calculating Hermite Expansion Coefficents of $|x|$

functional-analysis polynomials special-functions hermite-polynomials
Updated October 18, 2018 11:20 AM

A connected subset of a metric space with at least two points has no isolated points

real-analysis general-topology metric-spaces connectedness
Updated October 18, 2018 10:20 AM

How to plot $\cos t+i\sin t$ in mathematica

complex-analysis
Updated October 18, 2018 09:20 AM

Details in proving that the image of a dense subset of a domain is itself dense in the range

real-analysis general-topology continuity
Updated October 18, 2018 09:20 AM

Construct a real valued function which takes zero on integers and such that image of function is not closed.

real-analysis general-topology functions continuity
Updated October 18, 2018 08:20 AM

How to get $u\in C^0([0,T];L^2(\Omega))$?

functional-analysis pde
Updated October 18, 2018 08:20 AM

If $X$ is a Borel set and $f$ has countably many discontinuities, prove that $f:X\rightarrow \mathbf{R}$ is Borel measurable.

real-analysis measure-theory borel-sets
Updated October 18, 2018 08:20 AM

DGL: variational problem in $H^1$

differential-equations pde vector-analysis divergence
Updated October 18, 2018 08:20 AM

Linear isomorphism beetween finite dimensional spaces

functional-analysis vector-space-isomorphism
Updated October 18, 2018 07:20 AM

Putnam Problem.

real-analysis
Updated October 18, 2018 07:20 AM

Proof of Boundedness Theorem using Nested Intervals

real-analysis
Updated October 18, 2018 05:20 AM

How to evaluate $\nabla \frac 1r$, $\nabla^2 \frac 1r$, $\int_S \nabla \frac 1r . ndS$

linear-algebra differential-equations vector-analysis divergence
Updated October 18, 2018 05:20 AM

Show absolute convergence of a series implies all of its rearrangement has the same limit.

real-analysis general-topology
Updated October 18, 2018 05:20 AM

What is $\sup(\sin(n))$?

real-analysis sequences-and-series limits compactness
Updated October 18, 2018 05:20 AM

Distance between any arbitrary sequence and an exponential sequence

real-analysis sequences-and-series limits
Updated October 18, 2018 04:20 AM

Exercise from Complex Analysis Stewart-Tall

complex-analysis
Updated October 18, 2018 04:20 AM

Related to Hausdorff-young inequality: If exists C, $\|\hat f\|_{q}\le C\| f\|_{p}$ for all $f\in L^p(\mathbb R^n), p,q>=1$, is it true that $q=p'$?

analysis
Updated October 18, 2018 03:20 AM

orthogonal complement of a hyperplane

functional-analysis
Updated October 18, 2018 02:20 AM

Hard problem: Convergence 1

real-analysis measure-theory probability-distributions convergence
Updated October 18, 2018 02:20 AM

Radius of convergence of $\sum \frac{z^n}{n \log n \log\log n}$

real-analysis sequences-and-series convergence
Updated October 18, 2018 01:20 AM

Show that $e^z$ is continuous on $\mathbb{C}$

complex-analysis complex-numbers continuity epsilon-delta
Updated October 18, 2018 01:20 AM

How to generate Fourier invariant closest norm sequence?

linear-algebra sequences-and-series functional-analysis fourier-analysis fourier-transform
Updated October 18, 2018 01:20 AM

Deriving the area of surface of revolution formula from cylindrical coordinates

calculus multivariable-calculus vector-analysis
Updated October 18, 2018 01:20 AM

integral of $e^z \log z$ over parabola in complex plane

complex-analysis improper-integrals contour-integration
Updated October 18, 2018 00:20 AM

Complex partial fractions of $\frac {z}{z^3+1}$

complex-analysis partial-fractions
Updated October 18, 2018 00:20 AM

Given $f_t$, if $g_x(t):=f_t(x)$ is continuous for all $x$, is $h(t):=\int \! f_t\,\text{d}m$ is continuous?

real-analysis
Updated October 18, 2018 00:20 AM

Minkowski inequality proof without using Holder's inequality

real-analysis inequality
Updated October 17, 2018 23:20 PM

existence and uniqueness for semilinear heat equation

functional-analysis reference-request pde heat-equation parabolic-pde
Updated October 17, 2018 23:20 PM

Proving that the sum of the difference of square roots of partial sums diverges

real-analysis sequences-and-series convergence
Updated October 17, 2018 23:20 PM

The relation of type $A \subset V \subset \overline{V} \subset U$ in Banach space

general-topology functional-analysis banach-spaces
Updated October 17, 2018 23:20 PM

What complex analysis must I know to understand D.J. Newman's proof of the Prime Number Theorem?

complex-analysis reference-request prime-numbers book-recommendation
Updated October 17, 2018 23:20 PM

Convergence of a sequence for the three-point set

real-analysis sequences-and-series general-topology elementary-set-theory convergence
Updated October 17, 2018 23:20 PM

Showing that $\lim_{n\to\infty}\sum_{k=n}^{2n-1}\frac{1}{k} = \ln 2$

real-analysis integration sequences-and-series
Updated October 17, 2018 23:20 PM

Proof of $0 \leq \lVert tx +y\rVert \Rightarrow |\langle x,y \rangle| \leq \lVert x\rVert \lVert y \rVert$

real-analysis linear-algebra complex-analysis cauchy-schwarz-inequality
Updated October 17, 2018 22:20 PM

Real analysis: least upper bound and greatest lower bound for infinite series

real-analysis upper-lower-bounds
Updated October 17, 2018 22:20 PM

finding a finite-measure open cover of a finite-measure set of reals

real-analysis measure-theory lebesgue-measure
Updated October 17, 2018 22:20 PM

Relation between Atiyah-Singer and Atiyah-Hitchin-Singer index theorems

analysis differential-geometry algebraic-topology differential-topology mathematical-physics
Updated October 17, 2018 22:20 PM

Closed And Compact Sets

real-analysis proof-verification
Updated October 17, 2018 22:20 PM

What does $\lim \inf _ { n \rightarrow \infty }$ mean?

real-analysis sequences-and-series limits
Updated October 17, 2018 21:20 PM

Is $l_p$ a closed subspace of $c_0$?

sequences-and-series functional-analysis
Updated October 17, 2018 21:20 PM

How to show if the complex function $\bar{f}$ is differentiable, then $f$ is differentiable?

complex-analysis complex-numbers
Updated October 17, 2018 21:20 PM

Show that the exact values of the roots of $z=1+i$ are...

complex-analysis
Updated October 17, 2018 20:20 PM

Identifying whether the sequence $2n+(-1)^n$ is monotonically increasing/decreasing and if it is limited.

real-analysis sequences-and-series limits analysis
Updated October 17, 2018 20:20 PM

on infinities, sets and limits

real-analysis limits set-theory
Updated October 17, 2018 20:20 PM

Showing Page 1 of 0