Selected publications

Pseudodifferential operators on manifolds: an invariant approach. In Partial Differential Equations and Spectral Theory, 321-341, Oper. Theory Adv. Appl., 211, Birkhäuser, Basel, 2011. Jointly with P. McKeag.

On the relation between an operator and its self-commutator. J. Funct. Anal. 260 (2011), no. 10, 2902–2932. Jointly with N. Filonov

Asymptotic estimates for the difference between Dirichlet and Neumann counting functions. Funct. Anal. Appl. 44 (2010), no. 4, 286–294. Jointly with N. Filonov.

Estimates for the counting function of the Laplace operator on domains with rough boundaries. In Around the research of Vladimir Maz'ya. III, 247–258, Int. Math. Ser. (N. Y.), 13, Springer, New York, 2010. Jointly with Y. Netrusov.

Average growth of the spectral function on a Riemannian manifold. Comm. Partial Differential Equations 34 (2009), no. 4-6, 581—615. Jointly with L. Hugues and I. Polterovich.

On the comparison of the Dirichlet and Neumann counting functions. AMS Translations (2), Advances in Mathematical Sciences 225 (2008), 191-204.

Birkhoff's theorem for families of probability spaces. St. Petersburg Math. J. 17 (2006), no. 5, 797—813.

Berezin and Gårding inequalities. Funct. Anal. Appl. 39 (2005), no. 4, 301—307.

Weyl asymptotic formula for the Laplacian on domains with rough boundaries. Comm. Math. Phys. 253 (2005), no. 2, 481—509. Jointly with Y. Netrusov.

Birkhoff's theorem and multidimensional numerical range. J. Funct. Anal. 222 (2005), no. 1, 61—97.

Fourier Tauberian theorems and applications. J.Funct. Anal. 185 (2001), no. 1, 111—128.

Pseudodifferential operators and linear connections. Proc. London Math. Soc. (3) 74 (1997), no. 2, 379—416. 

Szego type limit theorems. J. Funct. Anal. 138 (1996), no. 2, 544—559. Jointly with A. Laptev.

On global representation of Lagrangian distributions and solutions of hyperbolic equations. Comm. Pure Appl. Math. 47 (1994), no. 11, 1411—1456. Jointly with A. Laptev and D. Vassiliev.