Some papers
J. Dolbeault, A. Laptev and M. Loss,
Lieb-Thirring inequalities with improved constants,
accepted by JEMS.
A. Laptev, R. Shterenberg and V. Sukhanov,
Inverse spectral problems for Schrödinger operators with energy depending potentials,
CRM Proceedings & Lecture Notes, 42 (2007), 341-352.
R. Frank A., Laptev, E.H. Lieb and R. Seiringer ,
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials,
Letters in Math. Physics,
77
(2006), 309-316.
A. Laptev, R. Shterenberg, V. Sukhanov and J.Östensson,
Reflectionless potentials for an ordinary differential operator of order four,
Inverse Problems
22
(2006), 135-153.
J. Hoppe, A. Laptev and J.Östensson,
Solitons and the Removal of Eigenvalues for Fourth Order Differential Operators,
IMRN, 2006, ID 85050.
E. Langmann, A. Laptev and C. Paufler,
Singular factorizations, self-adjoint extensions and applications to quantum many-body physics.,
J.Phys. A: Math.Gen.
39
(2006), 1057-1071.
A. Laptev,
Spectral inequalities and their applications,
Lecture Notes, Warwick, April 2005.
A. Laptev, S. Naboko and O. Safronov,
Absolutely continuous spectrum of Schrödinger operators with slowly decaying and oscillating potentials,
Comm. Math. Physics,
253
(2005), 611-631.
A. Laptev, S. Naboko and O. Safronov,
A Szegö condition for a multidimensional Schrödinger operator,
J.Func.Anal.,
219
(2005), 285-305.
A. Balinsky, A. Laptev and A. Sobolev,
Generalized Hardy inequality for the magnetic Dirichlet forms,
Journal of Statistical Physics,
116
(2004), 507-521.
S. Chanillo, B. Helffer and A. Laptev,
Non linear eigenvalues and analytic hypoellipticity,
J. Func. Anal.,
209
(2004), 425-443.
A. Laptev, S. Naboko and O. Safronov,
On new relations between spectral properties of Jacobi matrices and their coefficients,
Comm. Math. Physics.,
241
(2003), 91-110.
M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and A. Laptev,
A geometrical version of Hardy's inequality,
J. Funct. Anal.,
189
(2002), 539-548.
A. Laptev and T. Weidl,
Sharp Lieb-Thirring inequalities in high dimentions,
Acta Mathematica,
184
(2000), 87-111.
D. Hundertmark, A. Laptev and T. Weidl,
New bounds on the Lieb-Thirring constants,
Invent. math.,
140
(2000), 693-704.
A. Laptev and T. Weidl,
Hardy inequalities for magnetic Dirichlet forms,
Operator Theory: Advances and Applications,
108
, p. 299-305, 1999, Birkh?user Verlag Basel/Switzerland.
A. Laptev and T. Weidl,
Recent results on Lieb-Thirring inequalities,
Journ?es "?quations aux D?riv?es Partielles" (La Chapelle sur Erdre, 2000), Exp. No. XX, 14 pp., Univ. Nantes, Nantes, 2000.
A. Laptev,
The negative spectrum of a class of two-dimensional Schrödinger operators with spherically symmetric potentials,
Funct. Anal. Appl,
34
, (2000), No. 4, 305-307.
A. Laptev and I.M. Sigal
Global Fourier Integral Operators and semiclassical asymptotics,
Review of Math. Phys.,
12
, (2000), No. 5, 749-766.
A. Laptev and Yu. Netrusov,
On the negative eigenvalues of a class of Schrödinger operators.,
Amer. Math. Soc., Providence, Differential operators and spectral theory, Amer. Math. Soc. Transl. Ser. 2
189
(1999), 173--186.
A. Laptev and Yu. Safarov,
Szegö type limit theorems,
J. Funct. Anal.,
138
(1996), 544-559.
A. Laptev,
Dirichlet and Neumann Eigenvalue Problems on Domains in Euclidean Spaces,
J. Funct. Anal.,
151
(1997), 531-545.
A. Laptev and Yu Safarov,
A Generalization of the Berezin-Lieb Inequality,
Amer. Math. Soc. Transl., (2)
175
(1996), 69-79.