Аннотация:We obtain a Weyl asymptotic formula for the number of eigenvalues of the Zaremba–
Steklov operator. The leading term of the asymptotic expression is written out. The construc-
tion is based on an estimate of the Green’s function for the Dirichlet problem of the corresponding
parabolic operator, and then the classical Hardy–Littlewood Tauberian theorem is applied.