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math.SP2024
A remark on the absence of eigenvalues in continuous spectra for discrete Schrödinger operators on periodic lattices
Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka
We prove a Rellich-Vekua type theorem for Schrödinger operators with exponentially decreasing potentials on a class of lattices including square, triangular, hexagonal lattices and…
math.AP2024
Carleman factorization of layer potentials on smooth domains
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
One of the unexplored benefits of studying layer potentials on smooth, closed hypersurfaces of Euclidean space is the factorization of the Neumann-Poincaré operator into a product…