Equiconvergence of expansions into triple trigonometric series and Fourier integral for continuous functions with a certain modulus of continuity

We study the problem of equiconvergence on $\mathbb T^3=[-\pi, \pi)^3$ for expansions in a triple trigonometric Fourier series and a Fourier integral of continuous functions with a certain modulus of continuity in the case of a “lacunary sequence of partial sums”.