Question

Diagonalising Invertible Mobius Transformation

score 194 · Answer 1 · 2026-03-22 22:36:00

194

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Diagonalising Invertible Mobius Transformation

Published on 22 Mar 2026 - 22:36

score 118 · Answer 2 · 2026-03-23 03:24:34

118

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What is the dimension of the set generated by $z \mapsto z + 1$ and $z \mapsto \frac{z}{1+z}$?

Published on 23 Mar 2026 - 3:24

score 46 · Answer 3 · 2026-03-22 19:17:34

46

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If $\Omega$ is a symmetric domain of $\mathbb{C}$ and $f$ an isomorphism with certain conditions then $f(\overline{z})=\overline{f(z)}$

Published on 22 Mar 2026 - 19:17

score 321 · Answer 4 · 2026-03-23 13:45:49

321

Views

Find the equation of the image of the line $x+y=1$ by Möbius transformation

Published on 23 Mar 2026 - 13:45

score 327 · Answer 5 · 2026-03-24 22:08:15

327

Views

Inversion in a circle as radius goes to infinity.

Published on 24 Mar 2026 - 22:08

score 333 · Answer 6 · 2026-03-23 11:20:45

333

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Find a biholomorphic map from the region $\Omega$ onto the unit punctured disk $D^*$.

Published on 23 Mar 2026 - 11:20

score 74 · Answer 7 · 2026-03-23 02:55:37

74

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Image of $f(z)=\frac{z-3}{z-4}$ on $\{z\in\mathbb{C}|2<Re(z)<3\}$

Published on 23 Mar 2026 - 2:55

score 1.1k · Answer 8 · 2026-03-23 00:01:26

1.1k

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Find a Mobius Transformation that maps the points $\{0,1,\infty\}$ to $\{-1,-i,1\}$

Published on 23 Mar 2026 - 0:01

score 1.2k · Answer 9 · 2026-03-23 12:40:12

1.2k

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Mobius transformation, and showing it maps the unit disk D[0,1] to itself bijectively

Published on 23 Mar 2026 - 12:40

score 659 · Answer 10 · 2026-03-24 23:44:40

659

Views

Functions for which the Jacobian has orthogonal columns or rows

Published on 24 Mar 2026 - 23:44

score 82 · Answer 11 · 2026-03-20 06:23:12

82

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Construct a Mobius transformation $f$ with the specified effect:

Published on 20 Mar 2026 - 6:23

score 268 · Answer 12 · 2026-03-22 23:19:52

268

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How to deduce general solution of DE using Mobius transform

Published on 22 Mar 2026 - 23:19

score 1.4k · Answer 13 · 2026-03-22 22:09:34

1.4k

Views

Proof that automorphisms of unit disk are of the form $\lambda \dfrac{z-a}{\overline{a}z-1}$

Published on 22 Mar 2026 - 22:09

score 1.6k · Answer 14 · 2026-03-19 23:25:14

1.6k

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A special Mobius Transformation that maps the right half plane to the unit disc

Published on 19 Mar 2026 - 23:25

score 54 · Answer 15 · 2026-03-23 09:48:29

54

Views

Finding certain Mobius tranformation

Published on 23 Mar 2026 - 9:48

List Question

Diagonalising Invertible Mobius Transformation

What is the dimension of the set generated by $z \mapsto z + 1$ and $z \mapsto \frac{z}{1+z}$?

If $\Omega$ is a symmetric domain of $\mathbb{C}$ and $f$ an isomorphism with certain conditions then $f(\overline{z})=\overline{f(z)}$

Find the equation of the image of the line $x+y=1$ by Möbius transformation

Inversion in a circle as radius goes to infinity.

Find a biholomorphic map from the region $\Omega$ onto the unit punctured disk $D^*$.

Image of $f(z)=\frac{z-3}{z-4}$ on $\{z\in\mathbb{C}|2<Re(z)<3\}$

Find a Mobius Transformation that maps the points $\{0,1,\infty\}$ to $\{-1,-i,1\}$

Mobius transformation, and showing it maps the unit disk D[0,1] to itself bijectively

Functions for which the Jacobian has orthogonal columns or rows

Construct a Mobius transformation $f$ with the specified effect:

How to deduce general solution of DE using Mobius transform

Proof that automorphisms of unit disk are of the form $\lambda \dfrac{z-a}{\overline{a}z-1}$

A special Mobius Transformation that maps the right half plane to the unit disc

Finding certain Mobius tranformation

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