Three-Dimensional Cauchy-Type Integral Analogs

  • Michael S. Zhdanov


The previous section was concerned with the main concepts of analytical theory of two-dimensional geopotential fields based on the body of the Cauchy-type integral. But two-dimensional (plane) fields can serve just as an approximate model of actual geophysical fields dependent on three space coordinates. In view of this, an extremely important problem of theoretical geophysics is how to extend the results of a two-dimensional theory to a three-dimensional case. This section aims precisely at solving this problem.


Vector Field Holder Condition Infinite Domain Integral Analog Ordinary Point 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Michael S. Zhdanov
    • 1
  1. 1.Institute of Terrestrial Magnetism, Ionosphere and Radiowave PropagationAcademy of SciencesIzmiran, Troitsk, Moscow RegionUSSR

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