Trace formulae and inverse spectral theory for Schrödinger operators
Fritz Gesztesy, Helge Holden, Barry Simon, Zhong Xin Zhao
Abstract
We extend the well-known trace formula for Hill's equation to general one-dimensional Schrödinger operators. The new function ξ, which we introduce, is used to study absolutely continuous spectrum and inverse problems.
Create a lesson
Related papers
Schrodinger group along the horocycles and Egorov's theorem on compact hyperbolic surfaces
Xiaolong Han
Inferring geometric structure from eigenfunction triple products
Josef Greilhuber, Romain Speciel
Edge spectral invariants and second-order Steklov asymptotics for the regular tetrahedron
Josiah Park
Estimates for Ratios of Low-Order Eigenvalues of the Laplacian with Muckenhoupt Weights on Euclidean Domains
Jing Mao, He-Jun Sun, Lingzhong Zeng
An affine reverse Faber-Krahn inequality via information decay
Matthew J. Colbrook, George Stepaniants
Two-scale estimates for limit-periodic Schrödinger operators
Moises Gomez Solis