Geometric function theory. Jenkins results. The method of modules of curve families

G. V. Kuz'mina

Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 31, Tome 445 (2016), pp. 181-249

Résumé

Results and applications of the method of modules in geometric function theory are presented. The method was originated by J. A. Jenkins,and further development proceeded in works of the Leningrad–St. Petersburg mathematical school. A retrospective description of the origin of the method is given, and the determining role of Jenkins in the development of the method of the extremal metric is pointed out.

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