On the Peano curves associated with some conformal maps
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- by Gerald R. MacLane
- Proc. Amer. Math. Soc. 6 (1955), 625-630
- DOI: https://doi.org/10.1090/S0002-9939-1955-0072227-5
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References
- Wilhelm Gross, Eine ganze Funktion, für die jede komplexe Zahl Konvergenzwert ist, Math. Ann. 79 (1918), no. 1-2, 201–208 (German). MR 1511920, DOI 10.1007/BF01457182 H. Hahn, Über die Abbildung einer Strecke auf ein Quadrat, Annali di Mat. ser. III vol. 21 (1913) pp. 33-55.
- David Hilbert, Ueber die stetige Abbildung einer Line auf ein Flächenstück, Math. Ann. 38 (1891), no. 3, 459–460 (German). MR 1510683, DOI 10.1007/BF01199431
- G. Piranian, C. J. Titus, and G. S. Young, Conformal mappings and Peano curves, Michigan Math. J. 1 (1952), 69–72. MR 50016
- R. Salem and A. Zygmund, Lacunary power series and Peano curves, Duke Math. J. 12 (1945), 569–578. MR 15154
- A. C. Schaeffer, Power series and Peano curves, Duke Math. J. 21 (1954), 383–389. MR 62219
- Makoto Ohtsuka, Note on functions bounded and analytic in the unit circle, Proc. Amer. Math. Soc. 5 (1954), 533–535. MR 62832, DOI 10.1090/S0002-9939-1954-0062832-3
Bibliographic Information
- © Copyright 1955 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 6 (1955), 625-630
- MSC: Primary 30.0X
- DOI: https://doi.org/10.1090/S0002-9939-1955-0072227-5
- MathSciNet review: 0072227