Dana (for n = 2 and n-4) the formula for the approximate representation of a square-integrable function inside the ellipsoid of revolution by the partial sum of its generalized Fourier series with respect to the complete orthonormal system of functions constructed in the ellipsoid based on the original linearly independent system of monomials. Possible practical applications of this formula are indicated in solving problems of geodesy, geophysics, and others.
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