On the absolute and uniform convergence of generalized Fourier integrals in vector eigenfunctions of the operator of elasticity theory in an unbounded domain

摘要

For the operator of elasticity theory, we establish definitive conditions for the absolute and uniform convergence of generalized Fourier integrals of a compactly supported vector function in an arbitrary subdomain D' in terms of the Sobolev-Slobodetskii space W (2) (alpha) (D) (where alpha is not necessarily an integer).