Fundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature

Howard S. Cohl, Thinh H. Dang, T. M. Dunster

We perform global and local analysis of oscillatory and damped spherically symmetric fundamental solutions for Helmholtz operators $(-\Delta \pm {\beta }^2)$ in $d$-dimensional, $R$-ra…