Mathematical Problems in Wave Propagation Theory

Sharply Directed Propagation of Love-Type Surface Waves.- Eigenfunctions Concentrated in a Neighborhood of a Closed Geodesic.- The Calculation of Interference Waves for Diffraction by a Cylinder and a Sphere.- The Expansion of an Arbitrary Function in Terms of an Integral of Associated Legendre Functions of First Kind with Complex Index.- Application of an Integral Transform with Generalized Legendre Kernel to the Solution of Integral Equations with Symmetric Kernels.- Solution of Three-Dimensional Problems for the Hyperboloid of Revolution and the Lens in Electrical Prospecting.- Application of the Laplace Method to the Construction of Solutions of the Helmholtz Equation.- The Problem of Constructing Solutions of the Neumann Problem for the Stationary Diffraction of Waves from a Half Space Separated by an Inclined Boundary into Two Angular Regions with Different Wave Propagation Speeds.- Eigenfunctions of the Laplace Operator on the Surface of a Triaxial Ellipsoid and in the Region Exterior to It.- Calculation of the Wave Fields for Multiple Waves near the Points of Origin.