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Uniformization theorem
(section)
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===Harmonic functions=== '''Perron's method''' *{{citation|last=Heins|first=M.|title=The conformal mapping of simply-connected Riemann surfaces| journal=Ann. of Math.|volume= 50|issue=3|year=1949|pages= 686–690|doi=10.2307/1969555|jstor=1969555}} *{{citation|last=Heins|first= M.|title=Interior mapping of an orientable surface into ''S''<sup>2</sup>|journal=Proc. Amer. Math. Soc. |volume=2|issue= 6|year=1951|pages= 951–952|doi=10.1090/s0002-9939-1951-0045221-4|doi-access=free}} *{{citation|last=Heins|first= M.|title=The conformal mapping of simply-connected Riemann surfaces. II|journal=Nagoya Math. J.|volume= 12|year= 1957|pages= 139–143|doi=10.1017/s002776300002198x|doi-access=free|url=https://projecteuclid.org/journals/nagoya-mathematical-journal/volume-12/issue-none/The-conformal-mapping-of-simply-connected-Riemann-surfaces-II/nmj/1118799932.pdf}} *{{citation|last= Pfluger|first= Albert|title= Theorie der Riemannschen Flächen|publisher= Springer|year= 1957}} *{{citation|last=Ahlfors|first=Lars V.|title= Conformal invariants: topics in geometric function theory|publisher= AMS Chelsea Publishing|year= 2010|isbn=978-0-8218-5270-5}} *{{citation|last= Beardon|first= A. F.|title= A primer on Riemann surfaces|journal= London Mathematical Society Lecture Note Series|volume= 78|publisher= Cambridge University Press|year= 1984|isbn= 978-0521271042|url-access= registration|url= https://archive.org/details/primeronriemanns0000bear}} *{{citation|last= Forster|first= Otto |title=Lectures on Riemann surfaces|translator=Bruce Gilligan|series= Graduate Texts in Mathematics|volume= 81|publisher= Springer|year= 1991|isbn=978-0-387-90617-1}} *{{citation|last1=Farkas|first1=Hershel M.|last2=Kra|first2=Irwin|title=Riemann surfaces|publisher=Springer|edition=2nd|isbn= 978-0-387-90465-8|year=1980}} *{{citation|last=Gamelin|first=Theodore W.|title= Complex analysis|series= Undergraduate Texts in Mathematics|publisher= Springer|year= 2001|isbn=978-0-387-95069-3}} *{{citation|last=Hubbard|first= John H.|title=Teichmüller theory and applications to geometry, topology, and dynamics. Vol. 1. Teichmüller theory| publisher= Matrix Editions|year= 2006|isbn=978-0971576629}} *{{citation|last=Schlag|first= Wilhelm|title=A course in complex analysis and Riemann surfaces.|series=Graduate Studies in Mathematics|volume= 154|publisher= American Mathematical Society|year=2014|isbn= 978-0-8218-9847-5}} '''Schwarz's alternating method''' *{{citation|last=Nevanlinna|first= Rolf|title= Uniformisierung|series=Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete|volume=64|publisher= Springer|year= 1953|doi=10.1007/978-3-642-52801-9|isbn=978-3-642-52802-6}} *{{citation|last1=Behnke|first1=Heinrich|last2= Sommer|first2= Friedrich|title= Theorie der analytischen Funktionen einer komplexen Veränderlichen|edition=3rd|series= Die Grundlehren der mathematischen Wissenschaften|volume= 77 |publisher=Springer|year=1965}} *{{citation|last= Freitag|first= Eberhard|title=Complex analysis. 2. Riemann surfaces, several complex variables, abelian functions, higher modular functions|publisher= Springer|year= 2011|isbn=978-3-642-20553-8}} '''Dirichlet principle''' *{{citation|last=Weyl|first= Hermann|title= The concept of a Riemann surface|translator= Gerald R. MacLane|publisher=Addison-Wesley|year= 1964|mr=0069903}} *{{citation|last=Courant|first=Richard|title= Dirichlet's principle, conformal mapping, and minimal surfaces|publisher= Springer|year= 1977|isbn=978-0-387-90246-3}} *{{citation|last= Siegel|first= C. L.|title= Topics in complex function theory. Vol. I. Elliptic functions and uniformization theory|translator1= A. Shenitzer|translator2= D. Solitar|year= 1988 |publisher= Wiley|isbn= 978-0471608448}} '''Weyl's method of orthogonal projection''' *{{citation|last=Springer|first= George|title= Introduction to Riemann surfaces|publisher= Addison-Wesley|year=1957|mr=0092855}} *{{citation|last=Kodaira|first=Kunihiko|title= Complex analysis|series=Cambridge Studies in Advanced Mathematics|volume= 107|publisher= Cambridge University Press|year= 2007|isbn= 9780521809375}} *{{citation|last=Donaldson|first=Simon|title= Riemann surfaces|series= Oxford Graduate Texts in Mathematics|volume= 22|publisher= Oxford University Press|year=2011|isbn= 978-0-19-960674-0}} '''Sario operators''' *{{citation|last=Sario|first= Leo|title=A linear operator method on arbitrary Riemann surfaces|journal=Trans. Amer. Math. Soc.|volume= 72|issue= 2|year=1952|pages= 281–295|doi=10.1090/s0002-9947-1952-0046442-2|doi-access=free}} *{{citation|last1=Ahlfors|first1=Lars V.|last2= Sario|first2= Leo|title=Riemann surfaces|series=Princeton Mathematical Series|volume= 26|publisher= Princeton University Press|year= 1960}}
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