Index transforms with the squares of Kelvin functions
arXiv:1810.06372
Abstract
New index transforms, involving squares of Kelvin functions, are investigated. Mapping properties and inversion formulas are established for these transforms in Lebesgue spaces. The results are applied to solve a boundary value problem on the wedge for a fourth order partial differential equation.
arXiv admin note: substantial text overlap with arXiv:1711.01933