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Transactions of the American Mathematical Society

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Compactness of the Neumann-Poincaré operator


Authors: E. J. Specht and H. T. Jones
Journal: Trans. Amer. Math. Soc. 140 (1969), 353-366
MSC: Primary 31A15; Secondary 47G05
DOI: https://doi.org/10.1090/S0002-9947-1969-0402080-3
MathSciNet review: 0402080
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References [Enhancements On Off] (What's this?)

  • [1] T. Carleman, Über das Neumann-Poincarésche Problem für ein Gebiet mit Ecken, Uppsala Dissertation, 1917.
  • [2] O. D. Kellogg, Potential functions on the boundary of their regions of definition, Trans. Amer. Math. Soc. 9 (1908), 39-50. MR 1500801
  • [3] -, Harmonic functions and Green's integral, Trans. Amer. Math. Soc. 13 (1912), 109-132. MR 1500909
  • [4] N. I. Muskhelishvili, Singular integral equations, Noordhoff, Groningen, 1953. MR 0355494 (50:7968)
  • [5] W. J. Sternberg and T. L. Smith, The theory of potential and spherical harmonics, Univ. of Toronto Press, Toronto, 1946. MR 0011513 (6:175d)
  • [6] S. E. Warschawski, On the solution of the Lichtenstein-Gershgorin integral equation in conformal mapping, Nat. Bur. Standards Appl. Math. Ser. 42 (1955), 7-29. MR 0074121 (17:540a)
  • [7] A. C. Zaanen, Linear analysis, Noordhoff, Groningen, 1956.

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DOI: https://doi.org/10.1090/S0002-9947-1969-0402080-3
Article copyright: © Copyright 1969 American Mathematical Society

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