Abstract
The article investigates the possibility of simultaneously recovering equivalent sources under an external field and the spectral characteristics of a useful signal. Examples of variational formulations for different versions of the method of linear integral representations are presented, and the problem of finding the density distribution of gravitating or magnetic masses on several horizontal planes is formulated. Additionally, the Fourier transform of the anomalous field element based on the known signal values at certain observation points, complicated by noise, is discussed.
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