2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.SP2019★ 1 cited
Non-real eigenvalues of the Harmonic Oscillator perturbed by an odd, two-point -potential
Charles Baker, Boris Mityagin
In this paper, we consider the perturbations of the Harmonic Oscillator Operator by an odd pair of point interactions: . We study the spectrum by analyzing…
math.SP2011★ 1 cited
Equiconvergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
Plamen Djakov, Boris Mityagin
One dimensional Dirac operators $$ L_{bc}(v) y = i 1 & 0 0 & -1 \frac{dy}{dx} + v(x) y, \quad y = y_1 y_2, \quad x\in[0,π]$$, considered with -potentials $ v(x) = 0 & P(x) Q(x…
math.SP2011★ 2 cited
A family of anisotropic integral operators and behaviour of its maximal eigenvalue
B. S Mityagin, A. V. Sobolev
We study the family of compact integral operators in with the kernel K_β(x, y) = \frac{1}π\frac{1}{1 + (x-y)^2 + β^2Θ(x, y)}, depending on the parame…