[1] Safronov, O.L:
The discrete spectrum in the spectral gaps of
semibounded operators with non-sign-definned perturbations.
J.Math. Anal. Appl. 260 (2001),
No. 2, 641—652 ps.file
[2]
Laptev A., Naboko S., Safronov O.:Absolutely continuous
spectrum of
Jacobi matrices, Mathematical results in quantum mechanics (Taxco, 2001),
Contemp. Math., 307
(2002), 215--223
[3]
Laptev, A. and Safronov, O.:The absolutely continuous spectrum of
matrix valued Shroedinger operators, Proceedings UAB 2002
[4] Safronov, Oleg:
The discrete spectrum of selfadjoint operators under
perturbations of variable sign. Commun.PDE 26 (2001),
no. 3-4, 629--649 ps.file
[5] Safronov, O.: Spectral shift
function in the large coupling constant limit.
J.Func.Anal 182 (2001), no.
1, 151--169. ps.file
[6] Safronov, Oleg: The discrete
spectrum of the perturbed periodic
Schrödinger operator in the large coupling constant limit. Comm.Math.Phys.
218 (2001), no. 1, 217--232. ps.file
[7] Safronov, O.L.: The discrete
spectrum in the gaps of the continuous
one for non-signdefinite perturbations with a large coupling constant.
Comm.
Math. Phys. 193 (1998), no. 1, 233--243.
[8] Safronov, O.L.: Emergence and
disappearance of the discrete spectrum
in a gap of a second-order periodic operator under decreasing perturbations
with alternating signs. (Russian) Algebra i Analiz 9 (1997),
no. 1,148--166
translation in St. Petersburg Math. J. 9 (1998), no. 1, 107--120
[9] Safronov, O.L.: The discrete
spectrum in gaps of the continuous spectrum
for indefinite-sign perturbations with a large coupling constant. (Russian)
Algebra i Analiz 8 (1996), no. 2,162--194 translation in St. Petersburg Math.
J.
8 (1997), no. 2, 307--331
[10 ] Laptev A., Naboko S.,
Safronov O.:On new relations between spectral
properties of Jacobi matrices and their coefficients,
Comm. Math. Phys. 241 (2003), no. 1, 91 -- 110. ps.file
[11] Laptev A.A., Safronov
O.L.: The negative discrete
spectrum of a class
of two-dimensional Schr\"odinger operators with magnetic fields. Accepted
by
Asymptotic Analysis.
[12 ] Safronov, O.:
On the a.c. spectrum of multi- dimensional Schrodinger operators with slowly
decaying potentials, to appear in Commun. Math. Phys. (mp-arch preprint has
a different title) ps.file
[13] Laptev A., Safronov O., Weidl T.: Bound states
asymptotics for elliptic
operators with strongly degenerate symbols, International
Math.
Series. Nonlinear Problems in Math. Phys. and Related Topics I.
[14] Safronov, Oleg: The spectral measure of a
Jacobi matrix in terms of
the Fourier transform of the perturbation, accepted by Arkiv
Matematik ps.file
[15]
Laptev A., Naboko S., Safronov, O.:
A Szeg\"o condition for a multidimensional Schr\"odinger
operator, to appear J. Func. Anal. ps.file
[16] Safronov, Oleg: The amount of discrete
spectrum of a perturbed periodic
Schr\"odinger operator inside a fixed interval $(\lambda_1,\lambda_2)$,
IMRN 9 (2004) 411-423 ps.file
[17]
Laptev A., Naboko S., Safronov, O.:
Absolutely continuous spectrum of Schr\"odinger operators with slowly
decaying and oscillating potentials, Commun. Math. Phys. 253 (2004), No3 ps.file
[18] Oleg Safronov
Multi-dimensional Schr\"odinger operators with no negative spectrum , submitted
[19] O.Safronov and G. Stolz, On the absolutely continuous spectrum of Schr\”odinger operators
with potentials decaying only inside a cone, pdf.file
Here a standard disclaimer can be found.