Bibliography for Riemann Mapping Theorem

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  1. On the Riemann Mapping Theorem  
    Shiing-Shen Chern; Shanyu Ji
    The Annals of Mathematics, 2nd Ser., Vol. 144, No. 2 (Sep., 1996), pp. 421-439, Jstor.  
  2. A Simple Proof of a Simple Version of the Riemann Mapping Theorem by Simple Functional Analysis  
    P. R. Garabedian
    The American Mathematical Monthly, Vol. 98, No. 9 (Nov., 1991), pp. 824-826, Jstor.  
  3. Some Examples of Riemann's Surfaces  
    Blackum, Harry A.  
    J. of Undergraduate Math., (1987), Vol. 19, No. 1, pp. 1-13.
  4. An Analogue of the Riemann Mapping Theorem for Lorentz Metrics  
    R. S. Kulkarni
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 401, No. 1820 (Sep., 1985), pp. 117-130, Jstor.
  5. On the Boundary Values of Riemann's Mapping Function  
    R. J. V. Jackson
    Transactions of the American Mathematical Society, Vol. 259, No. 1 (May, 1980), pp. 281-297, Jstor.  
  6. The Riemann mapping theorem.
    de Branges, Louis
    J. Math. Anal. Appl. 66 (1978), no. 1, 60--81. (Reviewer: Kenneth John Preskenis) 30E10 (30H05)
  7. Univalent Functions and the Riemann Mapping Theorem  
    P. R. Garabedian
    Proceedings of the American Mathematical Society, Vol. 61, No. 2 (Dec., 1976), pp. 242-244, Jstor.
  8. History of the Riemann Mapping Theorem  
    J. L. Walsh
    The American Mathematical Monthly, Vol. 80, No. 3 (Mar., 1973), pp. 270-276, Jstor.
  9. A Riemann Mapping Theorem for C(X)  
    Hugh E. Warren
    Proceedings of the American Mathematical Society, Vol. 28, No. 1 (Apr., 1971), pp. 147-154, Jstor.
  10. Some Boundary Properties of the Riemann Mapping Function  
    Maynard G. Arsove
    Proceedings of the American Mathematical Society, Vol. 19, No. 3 (Jun., 1968), pp. 560-568, Jstor.  
  11. Riemann's Mapping Theorem for Variable Metrics  
    Lars Ahlfors; Lipman Bers
    The Annals of Mathematics, 2nd Ser., Vol. 72, No. 2 (Sep., 1960), pp. 385-404, Jstor.
  12. A Note on Tetrahedral Riemann Surface Models (in Questions, Discussions, and Notes)  
    H. J. Barten  
    American Mathematical Monthly, Vol. 47, No. 4. (Apr., 1940), pp. 221-222, Jstor.  
  13. A Tetrahedral Riemann Surface Model of a Closed Finite Locally-Euclidean Two-Space  
    Michael Sadowsky  
    American Mathematical Monthly, Vol. 46, No. 4. (Apr., 1939), pp. 199-202, Jstor.  
  14. Discussions: Note on Stereographic Projection (in Questions and Discussions)  
    Theodore Bennett  
    American Mathematical Monthly, Vol. 35, No. 1. (Jan., 1928), pp. 24-27, Jstor.  
  15. Lan, Shi-Yi; Dai, Dao-Qing
    Riemann mapping theorems for Beltrami equations by circle packings.
    Pacific J. Math. 217 (2004), no. 1, 139--147. (Reviewer: Edward C. Taylor) 30C62 (52C26)
  16. Falbel, Elisha
    A simple proof of the Riemann mapping theorem for domains with spherical boundary.
    Complex Var. Theory Appl. 48 (2003), no. 3, 277--282. (Reviewer: Bruno A. Scárdua) 32V30 (32D26 32Q28)
  17. Daras, Nicholas J.
    On Riemann's mapping theorem.
    Far East J. Math. Sci. (FJMS) 7 (2002), no. 3, 285--291. (Reviewer: T. J. Suffridge) 32H02 (32T15)
  18. Hertling, Peter
    An effective Riemann mapping theorem.
    Computability and complexity in analysis (Castle Dagstuhl, 1997). Theoret. Comput. Sci. 219 (1999), no. 1-2, 225--265. (Reviewer: V. Ya. Kreinovich) 03F60 (30C30)
  19. McKean, H. P.
    A quick proof of Riemann's mapping theorem.
    Comm. Pure Appl. Math. 52 (1999), no. 3, 405--409. (Reviewer: F. W. Stallmann) 30C35 (30C20)
  20. Weitsman, Allen
    A counterexample to uniqueness in the Riemann mapping theorem for univalent harmonic mappings.
    Bull. London Math. Soc. 31 (1999), no. 1, 87--89. (Reviewer: D. A. Brannan) 31A05 (30C45)
  21. Huang, Xiaojun; Ji, Shanyu
    Global holomorphic extension of a local map and a Riemann mapping theorem for algebraic domains.
    Math. Res. Lett. 5 (1998), no. 1-2, 247--260. (Reviewer: Francine A. Meylan) 32D15 (32H02)
  22. Ji, Shanyu
    New approaches to the Riemann mapping theorem.
    Geometric complex analysis (Hayama, 1995), 309--316, World Sci. Publishing, River Edge, NJ, 1996. (Reviewer: James J. Faran, V) 32H02 (32F25 53C56)
  23. Chern, Shiing-Shen; Ji, Shanyu
    On the Riemann mapping theorem.
    Ann. of Math. (2) 144 (1996), no. 2, 421--439. (Reviewer: James J. Faran, V) 32H02 (32F25 53C56)
  24. He, Zheng-Xu; Schramm, Oded
    The inverse Riemann mapping theorem for relative circle domains.
    Pacific J. Math. 171 (1995), no. 1, 157--165. (Reviewer: Tomasz Dubejko) 30C35 (30C20 52C15)
  25. Cannon, James W.
    The combinatorial
    Riemann mapping theorem. Acta Math. 173 (1994), no. 2, 155--234. (Reviewer: Oded Schramm) 30C62 (30F10 30F40 57N05)
  26. Gray, Jeremy
    On the history of the Riemann mapping theorem.
    Rend. Circ. Mat. Palermo (2) Suppl. No. 34 (1994), 47--94. (Reviewer: D. H. Hamilton) 30C35 (01A55)
  27. Cannon, J. W.; Floyd, W. J.; Parry, W. R.
    Squaring rectangles: the finite Riemann mapping theorem.
    The mathematical legacy of Wilhelm Magnus: groups, geometry and special functions (Brooklyn, NY, 1992), 133--212, Contemp. Math., 169, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Richard Kenyon) 20F32 (30F10 52C15 57N05)
  28. Fridman, B. L.
    An approximate Riemann mapping theorem in Cn.
    Math. Ann. 275 (1986), no. 1, 49--55. (Reviewer: M. Hervé) 32H05
  29. Kulkarni, R. S.
    An analogue of the Riemann mapping theorem for Lorentz metrics.
    Proc. Roy. Soc. London Ser. A 401 (1985), no. 1820, 117--130. (Reviewer: Martin A. Magid) 53C50 (58G16)
  30. Kaup, Wilhelm
    A Riemann mapping theorem for bounded symmetric domains in complex
    Banach spaces. Math. Z. 183 (1983), no. 4, 503--529. (Reviewer: Harald Upmeier) 46G20 (17C65 32M05 32M15 46K99)
  31. Sinclair, Annette
    On development of the Riemann mapping theorem and related results.
    Math. Sci. 6 (1981), no. 1, 27--34. (Reviewer: Bertram Ross) 30-03 (01A60 01A99)
  32. Efroymson, G.
    The Riemann mapping theorem for planar Nash rings.
    Pacific J. Math. 92 (1981), no. 1, 73--78. (Reviewer: Jacob Burbea) 30F20 (14E20 14G30)
  33. Chiba, Tadasu
    A note on the Riemann mapping theorem.
    Kenkyû Kiyô---Gakushûin Kôtôka No. 11 (1981), 19--24. (Reviewer: Jacob Burbea) 30C35 (30C55)
  34. Rassias, Themistocles M.
    On Plateau's problem and a generalization of the Riemann mapping theorem.
    Prakt. Akad. Ath\=en\=on 52 (1977), 627--635 (1978). (Reviewer: A. J. Tromba) 58E12 (53A10)
  35. Ruscheweyh, Stephan; Wirths, Karl-Joachim
    Riemann's mapping theorem for n-analytic functions.
    Math. Z. 149 (1976), no. 3, 287--297. (Reviewer: O. P. Juneja) 30A32
  36. Cheng, Henry
    A constructive Riemann mapping theorem.
    Pacific J. Math. 44 (1973), 435--454. (Reviewer: B. van Rootselaar) 02E99 (30A30)
  37. Rhee, Choon Jai
    A short note on the Riemann mapping theorem.
    Kyungpook Math. J. 8 1968 49--50. (Reviewer: E. Netanyahu) 30.40
  38. Rhee, Choon Jai
    A note on the Riemann mapping theorem.
    Kyungpook Math. J. 8 1968 47--48. (Reviewer: E. Netanyahu) 30.40
  39. Dressel, F. G.; Gergen, J. J.
    The extension of the Riemann mapping theorem to elliptic equations.
    Proceedings of the conference on differential equations (dedicated to A. Weinstein), pp. 183--195. University of Maryland Book Store, College Park, Md., 1956. (Reviewer: L. Nirenberg) 35.0X
  40. Beurling, Arne
    An extension of the Riemann mapping theorem.
    Acta Math. 90, (1953). 117--130. (Reviewer: M. Heins) 30.0X
  41. Garabedian, P. R.
    A new proof of the Riemann mapping theorem. Construction and applications of conformal maps.
    Proceedings of a symposium, pp. 207--213. National Bureau of Standards, Appl. Math. Ser., No. 18, U. S. Government Printing Office, Washington, D. C., 1952. (Reviewer: J. Lelong-Ferrand) 30.0X
  42. Particle tracks fitted on the Riemann sphere
    Strandlie, A.; Wroldsen, J.; Fruhwirth, R.; Lillekjendlie, B.
    Computer Physics Communications, v 131, n 1, Sep, 2000, p 95-108, Compendex.
  43. Circular arcs fitted on a Riemann sphere
    Lillekjendlie, Bjorn
    Computer Vision and Image Understanding, v 67, n 3, Sep, 1997, p 311-317, Compendex.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006