Multidimensional periodic and almost-periodic spectral problems

  • Leonid Parnovski

    University College London, UK
Multidimensional periodic and almost-periodic spectral problems cover
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Abstract

I discuss various recent results on the spectral properties of multidimensional periodic and, to a smaller extent, almost-periodic operators, including proving the Bethe–Sommerfeld conjecture and obtaining the asymptotic expansion of the integrated density of states for large energies.