List questions from analyticity

Published on 01 May 2026 - 8:03

117

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Analyticity of a Fourier transform

Published on 14 Apr 2026 - 3:45

499

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What uniquely characterizes the germ of a smooth function?

Published on 11 Apr 2026 - 19:18

358

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

Published on 13 Apr 2026 - 16:58

643

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

Published on 12 Apr 2026 - 9:45

300

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

Published on 17 Apr 2026 - 13:42

123

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"Nearly-analytic" functions

Published on 12 Apr 2026 - 10:11

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 13 Apr 2026 - 9:40

45

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Wanted: Simple invertible function with the following properties

Published on 14 Apr 2026 - 20:39

304

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Are conformal maps between Riemannian manifolds real-analytic?

Published on 15 Apr 2026 - 7:22

5.7k

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

Published on 10 Apr 2026 - 0:01

326

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

Published on 24 Mar 2026 - 23:43

1.3k

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Smooth and not analytic

Published on 30 Apr 2026 - 4:24

348

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

Published on 13 Apr 2026 - 16:47

59

Views

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

Published on 07 May 2026 - 1:26

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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