About a Pólya-Schiffer inequality
Bodo Dittmar ; Maren Hantke
Annales UMCS, Mathematica, Tome 65 (2011), p. 29-44 / Harvested from The Polish Digital Mathematics Library
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For simply connected planar domains with the maximal conformal radius 1 it was proven in 1954 by G. Pólya and M. Schiffer that for the eigenvalues λ of the fixed membrane for any n the following inequality holds [...] where λ(o) are the eigenvalues of the unit disk. The aim of the paper is to give a sharper version of this inequality and for the sum of all reciprocals to derive formulas which allow in some cases to calculate exactly this sum.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:267623 
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     volume = {65},
     year = {2011},
     pages = {29-44},
     zbl = {1267.35141},
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Bodo Dittmar; Maren Hantke. About a Pólya-Schiffer inequality. Annales UMCS, Mathematica, Tome 65 (2011) pp. 29-44. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0011-8/

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