• Corpus ID: 235313791

The almost periodic gauge transform -- An abstract scheme with applications to Dirac Operators

@article{Lagace2021TheAP,
  title={The almost periodic gauge transform -- An abstract scheme with applications to Dirac Operators},
  author={Jean Lagac'e and Sergey Morozov and Leonid Parnovski and Bernhard Pfirsch and Roman Shterenberg},
  journal={arXiv: Mathematical Physics},
  year={2021}
}
One of the main tools used to understand both qualitative and quantitative spectral behaviour of periodic and almost periodic Schrodinger operators is the method of gauge transform. In this paper, we extend this method to an abstract setting, thus allowing for greater flexibility in its applications that include, among others, matrix-valued operators. In particular, we obtain asymptotic expansions for the density of states of certain almost periodic systems of elliptic operators, including… 

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