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Results tagged with quasiconformal
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user 170939
8
votes
2
answers
307
views
Quasiconformal maps in arbitrary dimensions
I am aware that a quasiconformal map satifies the formula
$$
\frac{\partial f}{\partial \overline{z}} = \mu(z) \frac{\partial f}{\partial z}
$$
where $\sup\{\mu(z):z \in \text{Domain}\{f\}\}<1$ imposes … Question: Does a generalization of the formula $\frac{\partial f}{\partial \overline{z}} = \mu(z) \frac{\partial f}{\partial z}$ apply to quasiconformal mappings in $\mathbb{R}^{2n+1}$? …
- 547
2
votes
1
answer
242
views
Bicomplex Conjugate Derivative
I have decided to first ask my question and second provide a list of steps I have already considered.
Question: After reading Luna-Elizarrarás, Shapiro, Struppa, and Vajiac - Bicomplex numbers and the …
- 547
2
votes
1
answer
111
views
Quasiconformal map from a subset of $\mathbb{C}$ to a polytope
Does a quasiconformal map exist between a subset of $\mathbb{C}$ (such
as a unit disc or rectangle) and a polytope? … Edit (Clarification): Could it be possible to make a quasiconformal or conformal map from a disk in $\mathbb{C}$ to the following polytope?
Thank you. …
- 547