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

2013/09/24 by Batal, Ahmet
#FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1309.6293

Abstract

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 L²([0,π]), and subject to periodic, antiperiodic or Neumann boundary conditions have discrete spectra. For sufficiently large n, the disc z: |z-n²|

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