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Petra Axolotl's user avatar
Petra Axolotl's user avatar
Petra Axolotl's user avatar
Petra Axolotl
  • Member for 8 years, 6 months
  • Last seen this week
6 votes

Order of growth of $(s-1)\zeta(s)$

4 votes

Fourier transform of the distribution $\left[\frac{1}{|x|^d}\right]$ on $\mathbb{R}^d$

3 votes

Why do injective holomorphic functions have nonzero derivative

3 votes

Showing $p dx + q dy$ is locally exact

3 votes

If $x\notin\mathbb{Q}$, then $\left|x-\frac{p}{q}\right|<\frac{1}{q^{2+\epsilon}}$ for infinitely many $\frac{p}{q}$?

2 votes

Understanding a step in Stein's proof that the Schwartz space is closed under convolution.

2 votes
Accepted

Riesz-Markov Theorem Proof exercise from Stein and Shakarchi

2 votes

An exercise from Steins's complex analysis.

2 votes

Möbius transformations and concentric circles

2 votes

Complex Exponential as a limit

2 votes

relation between theta function and Weierstrass elliptic function

2 votes

$L^{p_0} \cap L^{p_1}$ and $L^{q_0} + L^{q_1}$ are duals of each other

1 vote

Complexification of a real bounded linear transformation from $L^p$ to $L^p$

1 vote
Accepted

“Smallness” of Fourier transform of atoms

1 vote

Fourier Analysis an Introduction chap3 Problem 2

1 vote

Equivalence between $L^{p_0}+ L^{p_1}$ and Orlicz space $L^\Psi$ with suitable $\Psi$

1 vote

Clarification on Lemma 68.5 of Munkres

1 vote

Quotient map from topological group onto left cosets is open

1 vote

Prove that if $f \in L^p$ and $g \in L^q$ where $p$ and $q$ are conjugate exponents , then $\lim_{\vert x \vert \to \infty}(f*g)(x)=0$

1 vote
Accepted

Every separable Banach space is isometrically isomorphic to a quotient of $\ell^1$

1 vote

weak convergence in $L^p$ plus convergence of norm implies strong convergence

1 vote

Is the orbit space of a Hausdorff space by a compact Hausdorff group Hausdorff?

1 vote
Accepted

Periods of Conjugates of Harmonic Measures

1 vote

Convolution of Schwartz Function and Distribution of Compact Support

1 vote

About the completeness of orlicz space

1 vote

Prove that a tangent to a circle is perpendicular to the radius at the point of contact

1 vote

Give me a hint on Stein complex analysis Chapter 4 Exercise 1

1 vote

$\alpha \cdot (\alpha+1) \cdots (\alpha + n -1)\frac{1}{n!} \sim \frac{1}{\Gamma(\alpha)}n^{\alpha-1} \; \text{as} \; n \to \infty$

1 vote

Dirichlet L-series and Gamma function question

1 vote

Is my proof correct? (minimal distance between compact sets)