4 papers · 1 filter
Eigensystems of Dirac operators with singular potentials
Boris Mityagin, Petr Siegl
We perturb one-dimensional Dirac operators on a bounded interval subject to Dirichlet boundary conditions by potentials with Fourier coefficients exhibiting power-decay. As a conse…
Riesz property in the case of multiple eigenvalues
Boris Mityagin, Petr Siegl
We analyze spectra and the Riesz property of spectral projections of non-symmetric perturbations of self-adjoint operators with eigenvalues having arbitrary multiplicities, includi…
Spectral projections of an anharmonic oscillator with complex polynomial potential
Boris Mityagin, Petr Siegl
For a broad class of polynomial potentials , with an important and instructive representative being , , , we show tha…
Local form subordination without a power decay and a criterion of Riesz basesness
Boris Mityagin, Petr Siegl
We revisit the local form subordination condition on the perturbation of a self-adjoint operators with compact resolvent, which is used to show the Riesz basis property of the eige…