List questions from analyticity

Published on 22 Mar 2026 - 3:49

112

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Analyticity of a Fourier transform

Published on 03 Aug 2018 - 2:56

496

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What uniquely characterizes the germ of a smooth function?

Published on 03 Aug 2018 - 3:24

355

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Is a real-analytic function which vanishes on a set of positive measure identically zero?

Published on 09 Aug 2018 - 6:34

640

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Differentiability of $f(x+iy)=|x|+i|y|$

Published on 14 Aug 2018 - 3:01

295

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How to show a real valued function of several variables is analytic?

Published on 19 Mar 2026 - 18:48

118

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"Nearly-analytic" functions

Published on 04 Sep 2018 - 4:16

2.1k

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$f(z)$ is analytic if and only if $f(z)$ cannot be written as function of $\bar z$ ( where $z\in\mathbb C$ and $\bar z$ is conjugate of $z$)

Published on 10 Sep 2018 - 16:12

42

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Wanted: Simple invertible function with the following properties

Published on 12 Sep 2018 - 3:19

301

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Are conformal maps between Riemannian manifolds real-analytic?

Published on 14 Sep 2018 - 10:29

5.7k

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Understanding why f(z) can be differentiable, but not analytic

Published on 28 Sep 2018 - 19:07

325

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Doe a smooth function map positive measure sets to positive measure sets

Published on 21 Mar 2026 - 22:30

1.3k

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Smooth and not analytic

Published on 19 Oct 2018 - 18:31

345

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Analytic continuation of representations between $SO(4)$ and $O(1,3)$ Lie algebras

Published on 24 Oct 2018 - 19:59

52

Views

For $|q|<1$, the function $\frac{(az;q)_\infty}{(z;q)_\infty}$ is analytic on $|z|<1$.

Published on 16 Mar 2026 - 18:07

List Question

Which one of the following are true?

Analyticity of a Fourier transform

What uniquely characterizes the germ of a smooth function?

Is a real-analytic function which vanishes on a set of positive measure identically zero?

Differentiability of $f(x+iy)=|x|+i|y|$

How to show a real valued function of several variables is analytic?

"Nearly-analytic" functions

$f(z)$ is analytic if and only if $f(z)$ cannot be written as function of $\bar z$ ( where $z\in\mathbb C$ and $\bar z$ is conjugate of $z$)

Wanted: Simple invertible function with the following properties

Are conformal maps between Riemannian manifolds real-analytic?

Understanding why f(z) can be differentiable, but not analytic

Doe a smooth function map positive measure sets to positive measure sets

Smooth and not analytic

Analytic continuation of representations between $SO(4)$ and $O(1,3)$ Lie algebras

For $|q|<1$, the function $\frac{(az;q)_\infty}{(z;q)_\infty}$ is analytic on $|z|<1$.

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