On a certain kind of symmetrization and its applications
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A simple new method of symmetrization is defined and the change of various geometrical and physical quantities under this transformation investigated.
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- (1).Cf.T. Bonnesen-W. Fenchel,Theorie der konvexen Körper, Berlin 1934; see in particular § 9, pp. 69–74. —G. Pólya-G. Szegö,Isoperimetric Inequalities in Mathematical Physics, « Annals of Mathematics Studies », Nr. 27, Princeton 1951. We refer to this book briefly by P.-Sz.Google Scholar
- (2).Cf. for instanceG. Pólya andG. Szegö,Aufgaben und Lehrsätze aus der Analysis, vol. 1, p. 56, problem 90; ℵ=2.Google Scholar
© Swets & Zeitlinger B. V. 1955