Жан Бурген: відмінності між версіями

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*2018:{{нп|Премія Стіла|||Leroy P. Steele Prize}}
*[[Doctor honoris causa]] [[Єврейський університет|Єврейського університету]], {{iw|University of Paris-Est Marne-la-Vallée}} та [[Брюссельський вільний університет|Брюссельського вільного університету]]
 
== Доробок ==
*''Green’s function estimates for lattice Schrödinger operators and applications'', Princeton University Press 2005
*''New Classes of <math>L_p</math>-Spaces'', Springer 1981
*''Global solution of nonlinear Schrödinger equations'', Springer 1999
*Herausgeber mit [[Sergiu Klainerman]], [[Carlos Kenig]]: ''Mathematical aspects of nonlinear dispersive equations'', Princeton University Press 2007
* ''New Banach space properties of the disc algebra and <math>H^\infty</math>.'' Acta Math. 152 (1984), no. 1-2, 1–48.
* ''The metrical interpretation of superreflexivity in Banach spaces.'' Israel J. Math. 56 (1986), no. 2, 222–230.
*mit [[Vitali Milman]]: ''New volume ratio properties for convex symmetric bodies in <math>\R^n</math>.'' Invent. Math. 88 (1987), no. 2, 319–340.
* ''Bounded orthogonal systems and the <math>\Lambda(p)</math>-set problem.'' Acta Math. 162 (1989), no. 3-4, 227–245.
* ''Pointwise ergodic theorems for arithmetic sets.'' With an appendix by the author, Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein. Inst. Hautes Études Sci. Publ. Math. No. 69 (1989), 5–45.
*''Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I. Schrödinger equations.'' Geom. Funct. Anal. 3 (1993), no. 2, 107–156. ''II. The KdV-equation.'' Geom. Funct. Anal. 3 (1993), no. 3, 209–262.
* ''Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations.'' Ann. of Math. (2) 148 (1998), no. 2, 363–439.
*''On the dimension of Kakeya sets and related maximal inequalities.'' Geom. Funct. Anal. 9 (1999), no. 2, 256–282.
* ''Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case.'' J. Amer. Math. Soc. 12 (1999), no. 1, 145–171
* mit [[Michael Goldstein]], [[Wilhelm Schlag]]: ''Anderson localization for Schrödinger operators on <math>\Z^2</math> with quasi-periodic potential.'' Acta Math. 188 (2002), no. 1, 41–86.
*mit [[Nets Katz]], [[Terence Tao]]: ''A sum-product estimate in finite fields, and applications.'' Geom. Funct. Anal. 14 (2004), no. 1, 27–57.
*mit [[Haïm Brezis]]: ''New estimates for elliptic equations and Hodge type systems.'' J. Eur. Math. Soc. (JEMS) 9 (2007), no. 2, 277–315.
*mit [[Alex Gamburd]]: ''Uniform expansion bounds for Cayley graphs of <math>SL_2(F_p)</math>.'' Ann. of Math. (2) 167 (2008), no. 2, 625–642.
*mit Alex Gamburd, [[Peter Sarnak]]: '' Affine linear sieve, expanders, and sum-product.'' Invent. Math. 179 (2010), no. 3, 559–644.
*mit [[Alex Kantorovich]]: ''On the local-global conjecture for integral Apollonian gaskets.'' With an appendix by Péter P. Varjú. Invent. Math. 196 (2014), no. 3, 589–650.
*mit [[Dong Li]]: ''Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces.'' Invent. Math. 201 (2015), no. 1, 97–157.
*mit Ciprian Demeter, Larry Guth: ''Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three'', Annals of Mathematics, 184, 2016, 633-682
 
== Примітки ==