2026/03/04 by Carrie Clark, Richard S. Laugesen
#math.CA
For compact sets in Euclidean space, Riesz energies whose exponents differ by 1 are shown to arise as the endpoint cases of a one-parameter family of infinite-strip energies as the strip thickness increases from 0 to ∞, under Neumann boundary conditions. An approach is suggested to a capacity conjecture of Pólya and Szegő.