Vlad Yaskin
Department of Math & Stat Sciences
University of Alberta
Phone: (780) 492-0216
Email:

Book

• A.Koldobsky, V.Yaskin, The Interface between Convex Geometry and Harmonic Analysis, CBMS Regional Conference Series, 108, American Mathematical Society, Providence RI, 2008,107 pp.

Papers

• "Detecting symmetry in star bodies", (with Dmitry Ryabogin), J. Math. Anal. Appl., 395 (2012), 509-514.

• "Harmonic Analysis and Uniqueness questions in Convex Geometry", (with Dmitry Ryabogin and Artem Zvavitch), in Recent Advances in Harmonic Analysis (in honor of K. Oskolkov's 65th birthday), Springer Proceedings in Mathematics 25 (2013), 327-337.

• "On counterexamples in questions of unique determination of convex bodies", (with Dmitry Ryabogin), Proc. Amer. Math. Soc., accepted.

• "A problem of Klee on inner section functions of convex bodies", (with Richard Gardner, Dmitry Ryabogin, Artem Zvavitch), J. Differential Geom. 91 (2012), 261-279.

• "The geometry of $p$-convex intersection bodies", (with Jaegil Kim and Artem Zvavitch), Advances in Math. 226 (2011), 5320-5337.

• "On perimeters of sections of convex polytopes", J. Math. Anal. Appl. 371, no. 2 (2010), 447-453.

• "Unique determination of convex polytopes by non-central sections", Math. Ann. 349, no. 3 (2011), 647-655.

• "A Fourier transform approach to Christoffel's problem" (with P.Goodey and M.Yaskina), Trans. Amer. Math. Soc., 363 (2011), 6351-6384.

• "On Fourier transform techniques in convex geometry", in Proceedings of the international conference "Geometry 'in large', Topology and Applications" dedicated to the 90-th birthday of A.V.Pogorelov, 152 - 161, Kharkov, Ukraine, October 2010, ACTA.

• "Fourier transforms and the Funck-Hecke theorem in convex geometry" (with P.Goodey and M.Yaskina), J. London Math. Soc. (2) 80 (2009) 388-404.

• "On strict inclusions in hierarchies of convex bodies", Proc. Amer. Math. Soc., 136 (2008), 3281-3291.

• "Modified Shephard's problem on projections of convex bodies", Israel J. Math., 168 (2008), 221-238.

• "Inequalities of the Kahane-Khinchin type and sections of $L_p$-balls", (with A.Koldobsky and A.Pajor), Studia Math. 184 (2008), 217-231.

• "The geometry of $L_0$" (with N.J.Kalton, A.Koldobsky and M.Yaskina), Canadian J. Math. 59 no. 5 (2007), 1029--1049.

• "A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space" , J. Geom. Anal. 16 (2006), no. 4, 735--745.

• "Centroid bodies and comparison of volumes" (with M.Yaskina), Indiana Univ. Math. J. 55 (2006), no. 3, 1175--1194.

• "The Busemann-Petty problem in hyperbolic and spherical spaces", Advances in Math. 203 (2006), no. 2, 537--553.

• "Modified Busemann-Petty problem on sections on convex bodies" (with A.Koldobsky and M.Yaskina), Israel J. Math. 154 (2006), 191--208.

• Totally geodesic submanifolds of surfaces with the revolution group $SO(2)\times SO(2)$, Kharkov University Vestnik, 475, (2000), 282--295. (Russian)

• Totally geodesic submanifolds of hypersurfaces of revolution in the Euclidean space, Mat. Fiz. Anal. Geom. 6 (1999), no 1/2, 182--188. (Russian)

  Other writings

• "A guide to Morgan and Shalen" (with S.Dostoglou and M.Yaskina).