Iosif Polterovich

Champs d'intérêt et thèmes d'enseignement

Analyse fonctionnelle, géométrie différentielle,
équations aux dérivées partielles.

Publications

Articles avec comité de lecture

• D. Jakobson, I. Polterovich and J. Toth, A lower bound for the remainder in Weyl's law on negatively curved surfaces, to appear in Int. Math. Res. Not.
• D. Jakobson, I. Polterovich, Estimates from below for the spectral function and for the remainder in local Weyl's law, Geom. Func. Anal. 17, no. 3 (2007), 806-838.
• M. Levitin, L. Parnovski, and I. Polterovich, Isospectral domains with mixed boundary conditions, J. Phys. A: Math. Gen. 39 (2006), 2073-2082.
• D. Jakobson, N. Nadirashvili and I. Polterovich, Extremal metric for the first eigenvalue on a Klein bottle, Canadian J. Math. 58 no. 2 (2006), 381-400.
• D. Jakobson, M. Levitin, N. Nadirashvili and I. Polterovich, Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond, J. Comput. Appl. Math., 194 no. 1 (2006),
• D. Jakobson, M. Levitin, N. Nadirashvili, N. Nigam and I. Polterovich, How large can the first eigenvalue be on a surface of genus two?, Int. Math. Res. Not. 2005: 63 (2005), 3967-3985.
• D. Jakobson, I. Polterovich, Lower bounds for the spectral function and for the remainder in local Weyl's law on manifolds, Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 71-77.
• Hitrik, Michael; Polterovich, Iosif . Resolvent expansions and
  trace regularizations for Schrödinger operators. Advances in differential equations and mathematical physics (Birmingham, AL, 2002), 161--173, Contemp. Math., 327, Amer. Math. Soc., Providence, RI, 2003.
• Hitrik, Michael; Polterovich, Iosif . Regularized traces and Taylor
  expansions for the heat semigroup. J. London Math. Soc. (2) 68 (2003), no. 2, 402--418.
• Polterovich, Iosif Combinatorics of the heat trace on spheres. Canad. J. Math. 54 (2002), no. 5, 1086--1099.
• A. Dyubina, I. Polterovich, Explicit constructions of universal R-trees and asymptotic geometry of hyperbolic spaces, Bull. London Math. Soc. 33 (2001), no. 6, 727-734.
• I. Polterovich, Heat invariants of Riemannian manifolds, Israel J. Math., 119 (2000), 239-252.
• I. Polterovich, A commutator method for computation of heat invariants, Indag. Math., N.S., (2000) 11(1) 139-149.
• I. Polterovich, From Agmon-Kannai expansion to Korteweg-de Vries hierarchy, Lett. Math. Phys. (1999) 49:71-77.
• A. Dyubina, I. Polterovich, Structures at infinity of hyperbolic spaces, Uspekhi Mat. Nauk 53 (1998), no. 5, 239-240 (in Russian; translation in Russian Mathematical Surveys 53 (1998), no. 5, 1093-1094).
• I. Polterovich, A. Shnirelman, An asymptotic subcone of the Lobachevskii plane as a function space, Uspekhi Mat. Nauk 52 (1997), no. 4, 209--210 (in Russian; translation in Russian Math. Surveys 52 (1997), no. 4, 842--843).
• I. Polterovich, On a characterization of flat metrics on 2-torus, J. Dynam. Control Systems, vol. 2 (1996), No. 1, 89--101.