List questions from harmonic-analysis

Published on 27 Mar 2026 - 10:42

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Density of a set of functions in Schwartz space

Published on 12 Apr 2014 - 22:43

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Real part of a holomorphic function is bounded by polynomial then the holomorphic function is a polynomial

Published on 30 Mar 2026 - 12:38

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$|supp(v)|=0$ implies the existence of $\lim_{\epsilon \to 0}\int_{|\theta -\phi|>\epsilon}\cot{(\pi(\theta-\phi))}dv(\phi)$

Published on 13 Apr 2014 - 20:05

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Proof that $\frac{dx\ dy}{x^2+y^2}$ is a Haar measure on the multiplicative group $\mathbb C\setminus\{0\}$

Published on 14 Apr 2014 - 16:03

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$f, \hat {f} \in L^{p} \cap L^{\infty} \implies f\in A(\mathbb R)$?

Published on 28 Mar 2026 - 4:34

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Is it true that the Fourier coefficient of convolution is the product of the coefficients?

Published on 30 Mar 2026 - 14:26

275

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Complex exponential is not Fourier multiplier on $L^p$

Published on 19 Apr 2014 - 20:11

750

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Unimodular groups

Published on 25 Mar 2026 - 12:47

502

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Extension of character in Banach algebras

Published on 26 Mar 2026 - 6:21

224

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What is the Fourier series of $e^{\mu\cos\theta}$?

Published on 26 Mar 2026 - 0:53

236

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Is every integrable function on the real line with compact support also square integrable?

Published on 27 Apr 2014 - 3:00

59

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Approximating a mean on $L^{\infty}(G)$ by a norm $1$ non-negative $f\in L^{1}(G)$

Published on 26 Mar 2026 - 6:22

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Show that $\log(x)$ is a Bounded Mean Oscillation (BMO)

Published on 29 Apr 2014 - 2:12

395

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Fourier Transform on compact groups

Published on 30 Apr 2014 - 6:29

List Question

Jucys-Murphy elements confusion

Density of a set of functions in Schwartz space

Real part of a holomorphic function is bounded by polynomial then the holomorphic function is a polynomial

$|supp(v)|=0$ implies the existence of $\lim_{\epsilon \to 0}\int_{|\theta -\phi|>\epsilon}\cot{(\pi(\theta-\phi))}dv(\phi)$

Proof that $\frac{dx\ dy}{x^2+y^2}$ is a Haar measure on the multiplicative group $\mathbb C\setminus\{0\}$

$f, \hat {f} \in L^{p} \cap L^{\infty} \implies f\in A(\mathbb R)$?

Is it true that the Fourier coefficient of convolution is the product of the coefficients?

Complex exponential is not Fourier multiplier on $L^p$

Unimodular groups

Extension of character in Banach algebras

What is the Fourier series of $e^{\mu\cos\theta}$?

Is every integrable function on the real line with compact support also square integrable?

Approximating a mean on $L^{\infty}(G)$ by a norm $1$ non-negative $f\in L^{1}(G)$

Show that $\log(x)$ is a Bounded Mean Oscillation (BMO)

Fourier Transform on compact groups

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