Supplement to the classical result of A.N. Tikhonov on electromagnetic sensing for a medium with thin layers

Tikhonov’s result uses values of a function on an interval; i.e., restoring the medium requires infinitely many values of the function. In this paper, the question is posed: what information about the environment can be obtained if only several values of this function are known? The answer turned out to be most favorable. If the data array contains $k$ function values, then the environment can be characterized by the same number of parameters.