Arthur S. Peters

• A note on the integral equation of the first kind with a Cauchy kernel
• Abel's equation and the Cauchy integral equation of the second kind
• An integral equation from diffraction theory
• Boundary values of potential functions prescribed along interior paths
• Certain dual integral equations and Sonine's integrals
• Cnoidal waves in a toroidal channel
• Irrotational and rotational solitary waves in a channel with arbitrary cross section
• Pairs of Cauchy singular integral equations and the kernel [b(z) + a(zeta)]/(z-zeta)
• Residue expansions for certain Green's functions and resolvent kernels
• Solitary waves in liquids having non-constant density
• Some generalized eigenfunction expansions and uniqueness theorems
• Some integral equations related to Abel's equation and the Hilbert transform