New posts in harmonic-analysis

Are Sobolev spaces $W^{k,1}(\mathbb R^d)$ and $H^{k,1}(\mathbb R^d)$ the same?

$L^p$ convergence of certain "average" function

What does the term "regularity" mean?

Lower bound for the Hardy-Littlewood maximal function implies it is not integrable

Why unitary characters for the dual group in Pontryagin duality if $G$ is not compact?

How to show convolution of an $L^p$ function and a Schwartz function is a Schwartz function

Criteria for swapping integration and summation order

A property of exponential of operators

Are Fourier Analysis and Harmonic Analysis the same subject?

Properties of Haar measure

A net version of dominated convergence?

Asymptotic error of Fourier series partial sum of sawtooth function

Fourier transform of the distribution PV $\left( \frac{1}{x} \right)$

What is the goal of harmonic analysis?

Learning algebra and harmonic analysis

Sinusoids as solutions to differential equations

If $f$ is a smooth real valued function on real line such that $f'(0)=1$ and $|f^{(n)} (x)|$ is uniformly bounded by $1$ , then $f(x)=\sin x$?

Construction of a sequence associated to the Heisenberg uncertainty principle.

Do discontinuous harmonic functions exist?

Prove or disprove a claim related to $L^p$ space