Dynamics of Partial Differential Equations
Volume 1 (2004)
Spectral expansions of one-dimensional periodic Dirac operators
Pages: 125 – 191
We study localization of spectra (Counting Lemma) and Lp convergence of spectral decompositions of 1D periodic Dirac operators. The main technical tool is estimates of the resolvent norms in their dependence on the smoothness of a potential.
Dirac operator, resolvent, spectral decompositions, uniform and unconditional convergence
2010 Mathematics Subject Classification
Primary 34L40, 42C15. Secondary 47E05.