Characterization of potential smoothness and Riesz basis property of Hill-Scrödinger operators with singular periodic potentials in terms of periodic, antiperiodic and Neumann spectra

Ahmet Batal

The Hill operators Ly=-y''+v(x)y, considered with singular complex valued π-periodic potentials v of the form v=Q' with Q in L^2([0,π]), and subject to periodic, antiperiodic or Ne…