Question

Is a Möbius transformation that PRESERVES UNIT DISC uniquely determined by three distinct points and their images?

score 191 · Answer 1 · 2020-05-12 20:08:37

191

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Is a Möbius transformation that PRESERVES UNIT DISC uniquely determined by three distinct points and their images?

Published on 12 May 2020 - 20:08

score 85 · Answer 2 · 2020-05-13 11:10:53

85

Views

How to prove uniqueness?

Published on 13 May 2020 - 11:10

score 162 · Answer 3 · 2020-05-17 16:40:57

162

Views

Where does exponential function $f=e^z$ map lower half plane?

Published on 17 May 2020 - 16:40

score 38 · Answer 4 · 2020-05-20 00:08:20

38

Views

Determining a Möbius transformation image

Published on 20 May 2020 - 0:08

score 287 · Answer 5 · 2020-05-24 04:45:31

287

Views

Show u(r, θ) is a solution to the Dirichlet Problem for the unit disk

Published on 24 May 2020 - 4:45

score 1.2k · Answer 6 · 2026-03-25 07:40:54

1.2k

Views

Möbius Transformation from a unit disk to the upper half plane

Published on 25 Mar 2026 - 7:40

score 63 · Answer 7 · 2026-03-25 07:41:15

63

Views

Möbius Transformation from a disk into a specific region

Published on 25 Mar 2026 - 7:41

score 38 · Answer 8 · 2020-05-29 14:27:52

38

Views

How to write a matrix from $SU(2)$ in terms of one angle and one complex number $z$ , where $z$ is from sphere $S^{2}$

Published on 29 May 2020 - 14:27

score 1.2k · Answer 9 · 2020-05-30 12:04:30

1.2k

Views

Möbius transformation that maps the unit circle to itself

Published on 30 May 2020 - 12:04

score 179 · Answer 10 · 2020-06-01 17:57:30

179

Views

Find the image of D on Möbius transformation.

Published on 01 Jun 2020 - 17:57

score 95 · Answer 11 · 2026-03-25 22:03:11

95

Views

Is there any way to represent any function on a z=0 plane transform into an arbitrary differentiable continuous non-linear surface?

Published on 25 Mar 2026 - 22:03

score 81 · Answer 12 · 2020-06-08 12:00:11

81

Views

The mobious transformation of ${z\over 2z-8}$ from circle $|z-2|=2$

Published on 08 Jun 2020 - 12:00

score 271 · Answer 13 · 2020-06-09 15:30:57

271

Views

Combinatorial interpretation of the identity $(f \circ f \circ f)(x) = x$ where $f(x) = 1/(1-x)$ for $x\in(-1,1)$

Published on 09 Jun 2020 - 15:30

score 628 · Answer 14 · 2020-06-16 05:42:37

628

Views

KAK decomposition of $SL(2,\mathbb{R})$

Published on 16 Jun 2020 - 5:42

score 33 · Answer 15 · 2020-06-17 18:40:13

33

Views

For any $z_0$ in the unit disk $\mathbb{D}$, the Möbius map $\varphi_{z_0}: z \mapsto \frac{z_0 - z}{1 - z\bar{z_0}}$ is a conformal map...

Published on 17 Jun 2020 - 18:40

List Question

Is a Möbius transformation that PRESERVES UNIT DISC uniquely determined by three distinct points and their images?

How to prove uniqueness?

Where does exponential function $f=e^z$ map lower half plane?

Determining a Möbius transformation image

Show u(r, θ) is a solution to the Dirichlet Problem for the unit disk

Möbius Transformation from a unit disk to the upper half plane

Möbius Transformation from a disk into a specific region

How to write a matrix from $SU(2)$ in terms of one angle and one complex number $z$ , where $z$ is from sphere $S^{2}$

Möbius transformation that maps the unit circle to itself

Find the image of D on Möbius transformation.

Is there any way to represent any function on a z=0 plane transform into an arbitrary differentiable continuous non-linear surface?

The mobious transformation of ${z\over 2z-8}$ from circle $|z-2|=2$

Combinatorial interpretation of the identity $(f \circ f \circ f)(x) = x$ where $f(x) = 1/(1-x)$ for $x\in(-1,1)$

KAK decomposition of $SL(2,\mathbb{R})$

For any $z_0$ in the unit disk $\mathbb{D}$, the Möbius map $\varphi_{z_0}: z \mapsto \frac{z_0 - z}{1 - z\bar{z_0}}$ is a conformal map...

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