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Über Eigenfrequenzen einer mehrfach zusammenhängenden Membran: Erweiterung von isoperimentrischen Sätzen von Pólya und Szegö

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Summary

Some isoperimetric inequalities ofPólya andSzegö are extended to doubly connected membranes of given modulus and of given area of the hole. An extension to membranes of higher connectivity is also indicated (Section 3), using a ‘harmonic transplantation’.

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Literaturverzeichnis

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Authors and Affiliations

  1. ETH, Zürich

    Theo Gasser & Joseph Hersch

Authors
  1. Theo Gasser
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  2. Joseph Hersch
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Gasser, T., Hersch, J. Über Eigenfrequenzen einer mehrfach zusammenhängenden Membran: Erweiterung von isoperimentrischen Sätzen von Pólya und Szegö. Journal of Applied Mathematics and Physics (ZAMP) 19, 672–675 (1968). https://doi.org/10.1007/BF01594974

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  • DOI: https://doi.org/10.1007/BF01594974

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