Published January 1, 2013 | Version v1
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Equiconvergence of spectral decompositions of Hill-Schrodinger operators

  • 1. Sabanci Univ, TR-34956 Istanbul, Turkey
  • 2. Ohio State Univ, Dept Math, Columbus, OH 43210 USA

Description

We study in various functional spaces the equiconvergence of spectral decompositions of the Hill operator L = d(2)/dx(2) + v(x), x is an element of [0, pi], with H-per(-1)-potential and the free operator L-0 = -d(2)/dx(2), subject to periodic, antiperiodic or Dirichlet boundary conditions. In particular, we prove that

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