Inversion of a polynomial operator with the Maslov-Chebyshev symbol

The Maslov–Heaviside method is applied to the inversion of a polynomial operator by the Maslov–Chebyshev symbol introduced in the paper. The result is applied to the proof of a theorem on the Bessel operator in the Stepanov spaces \(S_p(\mathbb{R}^n),\) \(1 \(n=1,2,\dots.\) This significantly expands the scope of application of operator methods to the study of the correct solvability of equations with the Laplace operator, usually studied in \(L_p\) spaces.