Bernstein's problem on weighted polynomial approximation, (.dvi)
Preprint

A problem on completeness of exponentials, (.dvi)
Preprint

Spectral gaps for sets and measures, (.dvi)
to appear in Acta Math.

With C. Remling, Approximation results for reflectionless Jacobi matrices, (.dvi)
Preprint

With N. Makarov, Beurling-Malliavin theory for Toeplitz kernels, (.dvi)
Inventiones Math., Vol. 180, Issue 3 (2010), 443-480.

With M. Mitkovski, Polya sequences, Toeplitz kernels and gap theorems, (.dvi)
Advances in Math., 224 (2010), pp. 1057-1070.

 With B. Simon and M. Zinchenko, The Hilbert transform of a measure, (.pdf)
to appear in J. d'Anal. Math.

Asymptotic behavior of arguments of Cauchy integrals, (.dvi)
Special volume devoted to the 75th birthday of V.P. Havin,
Amer. Math. Soc. Transl, (2) vol. 226, 2009, 133-153

With C. Remling, Reflectionless Herglotz functions and Jacobi matrices, (.dvi)
Comm. Math. Phys., Vol 288, 3, 2009, 1007-1021.

With M. Melnikov and A. Volberg, Uniqueness theorems for Cauchy integrals (.dvi)
Publ. Mat. 52 (2008), no. 2, 289--314.

With E. Abakumov, Pseudocontinuation and Cyclicity of Random Power series (.dvi)
J. Inst. Math. Jussieu 7 (2008), no. 3, 413--424.

With D. Sarason, AC measures, (.dvi)
Recent advances in operator-related function theory, 1--14,
Contemp. Math., 393, Amer. Math. Soc., Providence, RI, 2006.

With V. Kapustin, Boundary convergence of vector-valued pseudocontinuable functions, (.dvi)
J. Funct. Anal. 238 (2006), no. 1, 313--326.

With N. Makarov, Meromorphic inner functions, Toeplitz kernels and the Uncertainty Principle, (.dvi)
Perspectives in analysis, 185--252, Math. Phys. Stud., 27, Springer, Berlin, 2005.

With P. W. Jones, Asymptotic growth of Cauchy transforms (.dvi)
Ann. Acad. Sci. Fenn. Math. 29 (2004), no. 1, 99--120.

Images of non-tangential sectors under Cauchy transforms (.dvi)
J. Anal. Math. 89 (2003), 385--395.

Maximal properties of the normalized Cauchy transform (.dvi)
J. Amer. Math. Soc. 16 (2003), no. 1, 1--17

With R.del Rio and S. Fuentes, Coexistence of absolutely continuous and singular spectra (.dvi)
Bol. Soc. Mat. Mexicana (3) 8 (2002), no. 1, 49--61.

Integral representations and uniqueness sets for star-invariant subspaces (.dvi) 
Systems, approximation, singular integral operators, and related topics, 425--443,
Oper. Theory Adv. Appl., 129, Birkh�user, Basel, 2001.

Survival probability in rank-one perturbation problems (.dvi) 
Comm. Math. Phys. 223 (2001), no. 1, 205--222.

With R. del Rio and S. Fuentes, Families of spectral measures with mixed types (.dvi) 
Operator methods in ordinary and partial differential equations (Stockholm, 2000), 131--140,
Oper. Theory Adv. Appl., 132, Birkh�user, Basel, 2002.

Properties of exposed points in the unit ball of H1 (.dvi)
Indiana Univ. Math. J. 50 (2001), no. 4, 1789--1806.

Finite rank perturbations of singular spectra (.dvi)
Internat. Math. Res. Notices 1997, no. 9, pp. 421--436.

On the Distribution of the Boundary Values of Cauchy Integrals (.dvi)
Proc. Amer. Math. Soc., (1996), no. 8, pp. 2455--2463.

The Boundary Behavior of Pseudocontinuable Functions (.dvi)
St.-Petersburg Math. J., Vol. 5 (1994), No 2,  pp 389--406.

The Marshall Theorem for Almost Everywhere Continuous functions
Vestnik Lenin. Univ. ,Ser. 1, 1991, Vol. 1(No 1), pp 54-62 (in Russian),
translation in Vestnik Leningrad Univ. Math. 24 (1991), no. 1,  pp. 70--78.

On an Analog of the Douglas-Rudin Theorem
Vestnik Lenin. Univ. ,Ser. 1, 1989, Vol. 4(No 22), pp 32-35 (in Russian),
translation in Vestnik Leningrad Univ. Math. 22 (1989), no. 4,  pp. 40--44.