Question

real analytic inverse function theorem

score 366 · Answer 1 · 2026-03-25 07:49:32

real analytic inverse function theorem

Published on 25 Mar 2026 - 7:49

score 68 · Answer 2 · 2019-02-28 02:03:14

Is there an analytic function (on the open unit disk) satisfying $\forall k \in \mathbb{Z}^+\left[f(\frac1{2k})=f(\frac1{2k+1})=\frac1{2k}\right]$?

score 65 · Answer 3 · 2019-03-06 14:01:57

65

Views

$p$-adic analytic function bounded implies coefficients bounded?

Published on 06 Mar 2019 - 14:01

score 64 · Answer 4 · 2026-03-25 03:20:41

64

Views

If an analytic map $f$ has "many" values in a negligible set $B$, does $\text{Image}(f) \subseteq B$?

Published on 25 Mar 2026 - 3:20

score 362 · Answer 5 · 2026-03-25 20:15:56

362

Views

Generalizing an implicit function theorem for formal power series

Published on 25 Mar 2026 - 20:15

score 731 · Answer 6 · 2019-03-14 14:46:24

731

Views

Is there an analytic function $f$, such that $ f(\frac1n)=f(-\frac1n)=\frac1{2n+1}$, for all $n \in \mathbb N$?

Published on 14 Mar 2019 - 14:46

score 118 · Answer 7 · 2019-03-16 07:07:21

118

Views

Verification of Alternate Proof for Identity Theorem in Conplex Analysis.

Published on 16 Mar 2019 - 7:07

score 171 · Answer 8 · 2019-03-16 19:30:36

171

Views

If a real analytic function is zero at a point in a topological space, how does one prove that it is zero everywhere in that space?

Published on 16 Mar 2019 - 19:30

score 61 · Answer 9 · 2026-03-25 07:41:46

61

Views

Using the Cauchy Principal Value along a differentiable contour?

Published on 25 Mar 2026 - 7:41

score 1.6k · Answer 10 · 2019-03-21 06:40:03

1.6k

Views

Analytic function need not have a primitive

Published on 21 Mar 2019 - 6:40

score 200 · Answer 11 · 2019-03-21 06:49:27

200

Views

Analyticity of this function $\sqrt{\coth^2(a\ z) + \coth^2(b\ z) - c}$

Published on 21 Mar 2019 - 6:49

score 58 · Answer 12 · 2026-03-25 17:25:56

58

Views

Prove/disprove the existence of an analytic map using Identity Theorem

Published on 25 Mar 2026 - 17:25

score 41 · Answer 13 · 2019-03-26 08:51:04

41

Views

$f(z)=\sum_{n=1}^{\infty} a_n(z-z_0)^n$ such that $\sum_{n=0}^{\infty} f^n(a)$

Published on 26 Mar 2019 - 8:51

score 40 · Answer 14 · 2026-03-25 09:30:00

40

Views

Extend $f(z)=\frac{1}{z^n +z^{n-1}+...+z^2 + z^{-n}}+\frac{c}{z-1}$

Published on 25 Mar 2026 - 9:30

score 295 · Answer 15 · 2019-03-28 14:12:29

295

Views

Lie groups and orthogonal group

Published on 28 Mar 2019 - 14:12

List Question

real analytic inverse function theorem

Is there an analytic function (on the open unit disk) satisfying $\forall k \in \mathbb{Z}^+\left[f(\frac1{2k})=f(\frac1{2k+1})=\frac1{2k}\right]$?

$p$-adic analytic function bounded implies coefficients bounded?

If an analytic map $f$ has "many" values in a negligible set $B$, does $\text{Image}(f) \subseteq B$?

Generalizing an implicit function theorem for formal power series

Is there an analytic function $f$, such that $ f(\frac1n)=f(-\frac1n)=\frac1{2n+1}$, for all $n \in \mathbb N$?

Verification of Alternate Proof for Identity Theorem in Conplex Analysis.

If a real analytic function is zero at a point in a topological space, how does one prove that it is zero everywhere in that space?

Using the Cauchy Principal Value along a differentiable contour?

Analytic function need not have a primitive

Analyticity of this function $\sqrt{\coth^2(a\ z) + \coth^2(b\ z) - c}$

Prove/disprove the existence of an analytic map using Identity Theorem

$f(z)=\sum_{n=1}^{\infty} a_n(z-z_0)^n$ such that $\sum_{n=0}^{\infty} f^n(a)$

Extend $f(z)=\frac{1}{z^n +z^{n-1}+...+z^2 + z^{-n}}+\frac{c}{z-1}$

Lie groups and orthogonal group

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