Fourier Analysis in Convex Geometry, Mathematical Surveys and Monographs, American Mathematical Society, Providence RI 2005. Available at http://www.ams.org/bookstore-getitem/item=surv-116

Lectures on the Interface between Convex Geometry and Harmonic Analisys, CBMS Regional Conference Series,
American Mathematical Society, Providence RI, in press (with V.Yaskin)

The complex Busemann-Petty problem on sections of convex bodies, submitted (with H.K\"onig and M.Zymonopoulou)

Inequalities of the Kahane-Khinchin type and sections of $L_p$-balls, submitted (with A.Pajor and V.Yaskin)

Determination of convex bodies by derivatives of section functions, Arch. Math. 88 (2007), 279-288 (with C.Shane)

Sobolev spaces with trivial isometries, Positivity 10 (2006), 135-144 (with G.Diestel)

The geometry of L_0, Canad. J. Math., to appear (with N.Kalton, V.Yaskin, M.Yaskina)

Intersection bodies and L_p-spaces, Adv. Math. 196 (2005), 257-275 (with N.Kalton)

Modified Busemann-Petty problem on sections of convex bodies , Israel J. Math., to appear (with V.Yaskin and M.Yaskina)

Comparison of volumes by means of areas of central sections, Adv. Appl. Math. 33 (2004), 728-732

Extremal sections of complex $l_p$-balls, $0<p<2$, Studia Mathematica 159 (2003), 185-194 (with M.Zymonopoulou)

Fourier methods in the study of sections and projections of convex bodies, in Fourier Analysis and Convexity, L.Brandolini et al, eds, 119-130 (with D.Ryabogin and A.Zvavitch)

Projections of convex bodies and the Fourier transform, Israel J. Math. 139 (2004), 361-380 (with D.Ryabogin and A.Zvavitch)

Banach spaces embedding isometrically into $L_p$ when $0<p<1$ (with N.Kalton), Proc. Amer. Math. Soc. 132 (2004), 67-76

The Busemann-Petty problem via spherical harmonics, Adv. Math. 177 (2003), 105-114

Extremal slabs in the cube and the Laplace transform (with F.Barthe), Adv. Math. 174 (2003), 89-114

Sections of star bodies and the Fourier transform, Contemp. Math. 320 (2003), 225-248

On the central limit properties of convex bodies (with S.Bobkov), Lect. Notes in Math. 1807 (2003), 44-52

On the derivatives of X-ray functions, Arch. Math. 79 (2002), 216--222.

Aspects of the isometric theory of Banach spaces (with H.Koenig), Handbook of the Geometry of Banach Spaces, Elsevier, 2001, p. 899--939

Average volume of sections of star bodies (with M.Lifshits), Lect. Notes in Math. 1745 (2000), 119--146.

A functional analytic approach to intersection bodies, GAFA 10 (2000), 1507--1526

An analytic solution to the Busemann-Petty problem on sections of convex bodies (with R.J. Gardner and Th. Schlumprecht),Annals of Math. 149 (1999), 691--703

A generalization of the Busemann-Petty problem on sections of convex bodies, Israel J. Math. 110 (1999), 75--91

A short proof of Schoenberg's conjecture on positive definite functions (with Y.Lonke), Bull. London Math. Soc. 31 (1999), 693--699

A correlation inequality for stable random vectors, Contemp. Math. 234 (1999), 121--124

Positive definite distributions and subspaces of $L_{-p}$ with applications to stable processes, Canad. Math. Bull. 42 (1999), 344-353

Intersection bodies, positive definite distributions and the Busemann-Petty problem, Amer. J. Math. 120 (1998), 827--840

Intersection bodies in $R^4$, Adv. Math. 136 (1998), 1--14

Second derivative test for intersection bodies, Adv. Math. 136 (1998), 15--25

An application of the Fourier transform to sections of star bodies, Israel J. Math. 106 (1998), 157--164