Another look at the complex dilatation

Aimo Hinkkanen

doi:10.1007/s41478-016-0016-3

Another look at the complex dilatation

Aimo Hinkkanen

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give a new proof of the existence part of the Measurable Riemann Mapping theorem using the Cartan–Kähler theory together with well known approximation results for quasiconformal mappings.

Original language	English (US)
Pages (from-to)	277-291
Number of pages	15
Journal	The Journal of Analysis
Volume	24
Issue number	2
DOIs	https://doi.org/10.1007/s41478-016-0016-3
State	Published - Dec 2016

Keywords

Cartan-Kähler theory
Complex dilatation
Quasiconformal mappings

ASJC Scopus subject areas

Analysis
Applied Mathematics
Geometry and Topology
Algebra and Number Theory

Online availability

10.1007/s41478-016-0016-3

https://doi.org/10.1007/s41478-016-0016-3

Library availability

Discover UIUC Full Text

Cite this

@article{b0fd303e4e4445a08a45515dcf7c9c76,

title = "Another look at the complex dilatation",

abstract = "We give a new proof of the existence part of the Measurable Riemann Mapping theorem using the Cartan–K{\"a}hler theory together with well known approximation results for quasiconformal mappings.",

keywords = "Cartan-K{\"a}hler theory, Complex dilatation, Quasiconformal mappings",

author = "Aimo Hinkkanen",

note = "This material is based upon work supported by the National Science Foundation under Grant No. 1068857.",

year = "2016",

month = dec,

doi = "10.1007/s41478-016-0016-3",

language = "English (US)",

volume = "24",

pages = "277--291",

journal = "The Journal of Analysis",

issn = "0971-3611",

publisher = "Springer",

number = "2",

}

TY - JOUR

T1 - Another look at the complex dilatation

AU - Hinkkanen, Aimo

N1 - This material is based upon work supported by the National Science Foundation under Grant No. 1068857.

PY - 2016/12

Y1 - 2016/12

N2 - We give a new proof of the existence part of the Measurable Riemann Mapping theorem using the Cartan–Kähler theory together with well known approximation results for quasiconformal mappings.

AB - We give a new proof of the existence part of the Measurable Riemann Mapping theorem using the Cartan–Kähler theory together with well known approximation results for quasiconformal mappings.

KW - Cartan-Kähler theory

KW - Complex dilatation

KW - Quasiconformal mappings

UR - http://www.scopus.com/inward/record.url?scp=85104445641&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85104445641&partnerID=8YFLogxK

U2 - 10.1007/s41478-016-0016-3

DO - 10.1007/s41478-016-0016-3

M3 - Article

SN - 0971-3611

VL - 24

SP - 277

EP - 291

JO - The Journal of Analysis

JF - The Journal of Analysis

IS - 2

ER -

Another look at the complex dilatation

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this