39 citations · 138 across the 35 of their papers we have counts for
37 papers
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…
Estimates of -functions and their -derivatives
Miron Bekker, Boris Mityagin
We provide a lower bound for a weighted ratio of functions and its derivative. Then we apply this result to estimate the norm of the operator associated with the Cesár…
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…
The shifted harmonic oscillator and the hypoelliptic Laplacian on the circle
Boris Mityagin, Petr Siegl, Joe Viola
We study the semigroup generated by the hypoelliptic Laplacian on the circle and the maximal bounded holomorphic extension of this semigroup. Using an orthogonal decomposition into…