Three-Dimensional Cauchy-Type Integral Analogs
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.
KeywordsVector Field Holder Condition Infinite Domain Integral Analog Ordinary Point
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