22 citations · 38 across the 8 of their papers we have counts for
8 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…
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…
Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials
Iveta Semorádová, Petr Siegl
Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials are analyzed and their asymptotic formulas are obtained. Our approach also yields asymp…
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…
The damped wave equation with singular damping
Pedro Freitas, Nicolas Hefti, Petr Siegl
We analyze the spectral properties and peculiar behavior of solutions of a damped wave equation on a finite interval with a singular damping of the form , . We establish…