0 v 1 [ m at h . SP ] 1 9 Se p 20 01 SCHRÖDINGER OPERATORS WITH SINGULAR GORDON POTENTIALS

نویسندگان

  • R. O. HRYNIV
  • V. MYKYTYUK
چکیده

Singular Gordon potentials are defined to be distributions from the space W −1 2,unif (R) that are sufficiently fast approximated by periodic ones. We prove that Schrödinger operators with singular Gordon potentials have no point spectrum and show that a rich class of quasiperiodic distributions consists of singular Gordon potentials .

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تاریخ انتشار 2001