Jean Bourgain - Publications

Affiliations: 
Princeton University, Princeton, NJ 
Area:
Mathematics, Theoretical Mathematics, Applied Mathematics

141 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Bourgain J, Dyatlov S. Spectral gaps without the pressure condition Annals of Mathematics. 187: 825-867. DOI: 10.4007/Annals.2018.187.3.5  0.312
2018 Bourgain J, Mirek M, Stein EM, Wróbel B. On Dimension-Free Variational Inequalities for Averaging Operators in $${\mathbb{R}^d}$$ Geometric and Functional Analysis. 28: 58-99. DOI: 10.1007/S00039-018-0433-3  0.301
2018 Bourgain J. On quadratic irrationals with bounded partial quotients Selecta Mathematica-New Series. 24: 2831-2839. DOI: 10.1007/S00029-017-0380-0  0.303
2017 Bourgain J, Demeter C, Guo S. Sharp bounds for the cubic Parsell–Vinogradov system in two dimensions Advances in Mathematics. 320: 827-875. DOI: 10.1016/J.Aim.2017.09.008  0.324
2017 Bourgain J. Decoupling inequalities and some mean-value theorems Journal D Analyse Mathematique. 133: 313-334. DOI: 10.1007/S11854-017-0035-2  0.326
2017 Bourgain J, Demeter C. Decouplings for curves and hypersurfaces with nonzero Gaussian curvature Journal D Analyse Mathematique. 133: 279-311. DOI: 10.1007/S11854-017-0034-3  0.345
2017 Bourgain J, Demeter C. A study guide for the l^2 decoupling theorem Chinese Annals of Mathematics, Series B. 38: 173-200. DOI: 10.1007/S11401-016-1066-1  0.301
2017 Bourgain J, Dyatlov S. Fourier dimension and spectral gaps for hyperbolic surfaces Geometric and Functional Analysis. 27: 744-771. DOI: 10.1007/S00039-017-0412-0  0.362
2016 Bourgain J, Demeter C, Guth L. Proof of the main conjecture in Vinogradov’s Mean Value Theorem for degrees higher than three Annals of Mathematics. 184: 633-682. DOI: 10.4007/Annals.2016.184.2.7  0.303
2016 Bourgain J. On uniformly bounded bases in spaces of holomorphic functions American Journal of Mathematics. 138: 571-584. DOI: 10.1353/Ajm.2016.0018  0.333
2016 Bourgain J, Gamburd A, Sarnak P. Markoff triples and strong approximation Comptes Rendus Mathematique. 354: 131-135. DOI: 10.1016/J.Crma.2015.12.006  0.322
2016 Bourgain J. On the Fourier-Walsh spectrum of the Moebius function, II Journal D'Analyse Mathematique. 128: 355-367. DOI: 10.1007/S11854-016-0012-1  0.317
2016 Ambrosio L, Bourgain J, Brezis H, Figalli A. BMO-Type Norms Related to the Perimeter of Sets Communications On Pure and Applied Mathematics. 69: 1062-1086. DOI: 10.1002/Cpa.21620  0.315
2015 Bourgain J, Brezis H, Mironescu P. A new function space and applications Journal of the European Mathematical Society. 17: 2083-2101. DOI: 10.4171/Jems/551  0.32
2015 Bourgain J, Demeter C. The proof of the l2 Decoupling Conjecture Annals of Mathematics. 182: 351-389. DOI: 10.4007/Annals.2015.182.1.9  0.349
2015 Bourgain J, Demeter C. New bounds for the discrete fourier restriction to the sphere in 4D and 5D International Mathematics Research Notices. 2015: 3150-3184. DOI: 10.1093/Imrn/Rnu036  0.321
2015 Bombieri E, Bourgain J. A problem on sums of two squares International Mathematics Research Notices. 2015: 3343-3407. DOI: 10.1093/Imrn/Rnu005  0.322
2015 Bourgain J, Rudnick Z. NODAL INTERSECTIONS AND L p RESTRICTION THEOREMS ON THE TORUS Israel Journal of Mathematics. 207: 479-505. DOI: 10.1007/S11856-015-1183-7  0.339
2015 Bourgain J. Prescribing the binary digits of primes, II Israel Journal of Mathematics. 206: 165-182. DOI: 10.1007/S11856-014-1129-5  0.315
2015 Bourgain J, Li D. Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces Inventiones Mathematicae. 201: 97-157. DOI: 10.1007/S00222-014-0548-6  0.348
2015 Bourgain J, Shao P, Sogge CD, Yao X. On Lp-Resolvent Estimates and the Density of Eigenvalues for Compact Riemannian Manifolds Communications in Mathematical Physics. 333: 1483-1527. DOI: 10.1007/S00220-014-2077-Y  0.315
2015 Bourgain J, Dirksen S, Nelson J. Toward a unified theory of sparse dimensionality reduction in Euclidean space Geometric and Functional Analysis. 25: 1009-1088. DOI: 10.1007/S00039-015-0332-9  0.354
2015 Bourgain J, Li D. Strong illposedness of the incompressible Euler equation in integer C m spaces Geometric and Functional Analysis. 25: 1-86. DOI: 10.1007/S00039-015-0311-1  0.308
2014 Bourgain J, Bulut A. Almost sure global well-posedness for the radial nonlinear Schrödinger equation on the unit ball II: The 3d case Journal of the European Mathematical Society. 16: 1289-1325. DOI: 10.4171/Jems/461  0.329
2014 Bourgain J, Kontorovich A. On Zaremba's conjecture Annals of Mathematics. 180: 137-196. DOI: 10.4007/Annals.2014.180.1.3  0.314
2014 Bourgain J, Garaev MZ. Sumsets of reciprocals in prime fields and multilinear Kloosterman sums Izvestiya: Mathematics. 78: 656-707. DOI: 10.1070/Im2014V078N04Abeh002703  0.307
2014 Bourgain J, Bulut A. Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball I: The 2D case Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 31: 1267-1288. DOI: 10.1016/J.Anihpc.2013.09.002  0.335
2014 Bourgain J. On the Hardy-Littlewood maximal function for the cube Israel Journal of Mathematics. DOI: 10.1007/S11856-014-1059-2  0.318
2014 Bourgain J, Garaev MZ, Konyagin SV, Shparlinski IE. Multiplicative congruences with variables from short intervals Journal D Analyse Mathematique. 124: 117-147. DOI: 10.1007/S11854-014-0029-2  0.31
2014 Alon N, Bourgain J. Additive Patterns in Multiplicative Subgroups Geometric and Functional Analysis. 24: 721-739. DOI: 10.1007/S00039-014-0270-Y  0.33
2014 Bourgain J. An application of group expansion to the Anderson-Bernoulli model Geometric and Functional Analysis. 24: 49-62. DOI: 10.1007/S00039-014-0260-0  0.317
2013 Bourgain J. Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces Israel Journal of Mathematics. 193: 441-458. DOI: 10.1007/S11856-012-0077-1  0.349
2013 Bourgain J, Yehudayoff A. Expansion in SL 2\({(\mathbb{R})}\) and monotone expanders Geometric and Functional Analysis. 23: 1-41. DOI: 10.1007/S00039-012-0200-9  0.325
2012 Bourgain J, Gamburd A. A spectral gap theorem in SU(d) Journal of the European Mathematical Society. 14: 1455-1511. DOI: 10.4171/Jems/337  0.326
2012 Bourgain J, Garaev MZ, Konyagin SV, Shparlinski IE. On the Hidden Shifted Power Problem Siam Journal On Computing. 41: 1524-1557. DOI: 10.1137/110850414  0.302
2012 Bourgain J, Fuchs E. On representation of integers by binary quadratic forms International Mathematics Research Notices. 2012: 5505-5553. DOI: 10.1093/Imrn/Rnr253  0.356
2012 Bourgain J, Kashin BS. Uniform approximation of partial sums of a Dirichlet series by shorter sums and Φ-widths Sbornik Mathematics. 203: 1736-1760. DOI: 10.1070/Sm2012V203N12Abeh004285  0.364
2012 Bourgain J. Partial quotients and representation of rational numbers Comptes Rendus Mathematique. 350: 727-730. DOI: 10.1016/J.Crma.2012.09.002  0.317
2012 Bourgain J, Varjú PP. Expansion in SL d (Z/q Z), q arbitrary Inventiones Mathematicae. 188: 151-173. DOI: 10.1007/S00222-011-0345-4  0.696
2012 Bourgain J, Rudnick Z. Restriction of toral eigenfunctions to hypersurfaces and nodal sets Geometric and Functional Analysis. 22: 878-937. DOI: 10.1007/S00039-012-0186-3  0.332
2011 Bourgain J, Dilworth SJ, Ford K, Konyagin SV, Kutzarova D. Explicit constructions of RIP matrices and related problems Duke Mathematical Journal. 159: 145-185. DOI: 10.1215/00127094-1384809  0.304
2011 Bourgain J, Konyagin SV, Shparlinski IE. Distribution Of Elements Of Cosets Of Small Subgroups And Applications International Mathematics Research Notices. 2012: 1968-2009. DOI: 10.1093/Imrn/Rnr097  0.319
2011 Bourgain J, Furman A, Lindenstrauss E, Mozes S. Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus Journal of the American Mathematical Society. 24: 231-280. DOI: 10.1090/S0894-0347-2010-00674-1  0.323
2011 Bourgain J, Guth L. Bounds on oscillatory integral operators | Estimées sur les integrales oscillatoires Comptes Rendus Mathematique. 349: 137-141. DOI: 10.1016/J.Crma.2010.12.004  0.336
2011 Bourgain J, Gamburd A, Sarnak P. Generalization of Selberg's 3/16 theorem and affine sieve Acta Mathematica. 207: 255-290. DOI: 10.1007/S11511-012-0070-X  0.35
2011 Bourgain J, Rudnick Z. On the nodal sets of toral eigenfunctions Inventiones Mathematicae. 185: 199-237. DOI: 10.1007/S00222-010-0307-2  0.373
2011 Bourgain J, Guth L. Bounds on Oscillatory Integral Operators Based on Multilinear Estimates Geometric and Functional Analysis. 21: 1239-1295. DOI: 10.1007/S00039-011-0140-9  0.318
2010 Bourgain J, Konyagin SV, Shparlinski IE. Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings, and Fixed Points of the Discrete Logarithm International Mathematics Research Notices. 2008. DOI: 10.1093/Imrn/Rnn090  0.332
2010 Bourgain J, Vu VH, Wood PM. On the singularity probability of discrete random matrices Journal of Functional Analysis. 258: 559-603. DOI: 10.1016/J.Jfa.2009.04.016  0.333
2010 Bourgain J, Kontorovich A. On a theorem of Friedlander and Iwaniec Comptes Rendus Mathematique. 348: 947-950. DOI: 10.1016/J.Crma.2010.08.004  0.391
2010 Bourgain J, Chang M. On a multilinear character sum of Burgess Comptes Rendus Mathematique. 348: 115-120. DOI: 10.1016/J.Crma.2009.12.013  0.324
2010 Bourgain J. Estimates on polynomial exponential sums Israel Journal of Mathematics. 176: 221-240. DOI: 10.1007/S11856-010-0027-8  0.335
2010 Bourgain J. The discretized sum-product and projection theorems Journal D'Analyse Mathematique. 112: 193-236. DOI: 10.1007/S11854-010-0028-X  0.329
2010 Bourgain J, Gamburd A, Sarnak P. Affine linear sieve, expanders, and sum-product Inventiones Mathematicae. 179: 559-644. DOI: 10.1007/S00222-009-0225-3  0.347
2010 Bourgain J, Kontorovich A. Erratum to: On Representations of Integers in Thin Subgroups of {{\rm {SL}}_2(\mathbb {Z})} Geometric and Functional Analysis. 20: 1548-1549. DOI: 10.1007/S00039-010-0104-5  0.325
2010 Bourgain J, Kontorovich A. On Representations of Integers in Thin Subgroups of {{\rm SL}_2({\mathbb {Z}})} Geometric and Functional Analysis. 20: 1144-1174. DOI: 10.1007/S00039-010-0093-4  0.32
2009 Bombieri E, Bourgain J. On Kahane's ultraflat polynomials Journal of the European Mathematical Society. 11: 627-703. DOI: 10.4171/Jems/163  0.304
2009 Bourgain J, Lindenstrauss E, Michel P, Venkatesh A. Some effective results for ×a×b Ergodic Theory and Dynamical Systems. 29: 1705-1722. DOI: 10.1017/S0143385708000898  0.335
2009 Bourgain J, Rudnick Z. Restriction of toral eigenfunctions to hypersurfaces Comptes Rendus Mathematique. 347: 1249-1253. DOI: 10.1016/J.Crma.2009.08.008  0.323
2009 Bourgain J. Expanders and dimensional expansion Comptes Rendus Mathematique. 347: 357-362. DOI: 10.1016/J.Crma.2009.02.009  0.323
2009 Bourgain J. An approach to Wegner's estimate using subharmonicity Journal of Statistical Physics. 134: 969-978. DOI: 10.1007/S10955-009-9729-X  0.311
2009 Bourgain J. Multilinear exponential sums in prime fields under optimal entropy condition on the sources Geometric and Functional Analysis. 18: 1477-1502. DOI: 10.1007/S00039-008-0691-6  0.313
2008 Bourgain J, Gamburd A. Expansion and random walks in SL_d(Z/p^n Z): II Journal of the European Mathematical Society. 11: 1057-1103. DOI: 10.4171/Jems/175  0.325
2008 Bombieri E, Bourgain J, Konyagin SV. Roots of Polynomials in Subgroups of and Applications to Congruences International Mathematics Research Notices. 2009: 802-834. DOI: 10.1093/Imrn/Rnn147  0.383
2008 Bourgain J, Pavlović N. Ill-posedness of the Navier-Stokes equations in a critical space in 3D Journal of Functional Analysis. 255: 2233-2247. DOI: 10.1016/J.Jfa.2008.07.008  0.313
2008 Bourgain J, Gamburd A. Random walks and expansion in SLd (Z / pn Z) Comptes Rendus Mathematique. 346: 619-623. DOI: 10.1016/J.Crma.2008.04.006  0.324
2008 Bourgain J, Gamburd A. On the spectral gap for finitely-generated subgroups of SU(2) Inventiones Mathematicae. 171: 83-121. DOI: 10.1007/S00222-007-0072-Z  0.307
2007 Bourgain J, Brezis H. New estimates for elliptic equations and Hodge type systems Journal of the European Mathematical Society. 9: 277-315. DOI: 10.4171/Jems/80  0.344
2007 Bourgain J, Chang M. On the minimum norm of representatives of residue classes in number fields Duke Mathematical Journal. 138: 263-280. DOI: 10.1215/S0012-7094-07-13824-9  0.306
2007 Bourgain J, Furman A, Lindenstrauss E, Mozes S. Invariant measures and stiffness for non-Abelian groups of toral automorphisms⁎ Comptes Rendus Mathematique. 344: 737-742. DOI: 10.1016/J.Crma.2007.04.017  0.317
2007 Bourgain J. Sum-product theorems and exponential sum bounds in residue classes for general modulus Comptes Rendus Mathematique. 344: 349-352. DOI: 10.1016/J.Crma.2007.01.019  0.357
2006 Bourgain J, Glibichuk AA, Konyagin SV. Estimates for the number of sums and products and for exponential sums in fields of prime order Journal of the London Mathematical Society-Second Series. 73: 380-398. DOI: 10.1112/S0024610706022721  0.326
2006 Bourgain J, Gamburd A, Sarnak P. Sieving and expanders**The first author was supported in part by NSF grant DMS-0322370. The second author was supported in part by NSF grant DMS-0111298 and DMS-0501245. The third author was supported in part by Oscar Veblen Fund (IAS) and the NSF Comptes Rendus Mathematique. 343: 155-159. DOI: 10.1016/J.Crma.2006.05.023  0.336
2006 Bourgain J, Nguyen HM. A new characterization of Sobolev spaces Comptes Rendus Mathematique. 343: 75-80. DOI: 10.1016/J.Crma.2006.05.021  0.354
2006 Bourgain J, Chang M. A Gauss sum estimate in arbitrary finite fields Comptes Rendus Mathematique. 342: 643-646. DOI: 10.1016/J.Crma.2006.01.022  0.327
2005 Bourgain J. On invariant tori of full dimension for 1D periodic NLS Journal of Functional Analysis. 229: 62-94. DOI: 10.1016/J.Jfa.2004.10.019  0.369
2005 Bourgain J, Kaloshin V. On diffusion in high-dimensional Hamiltonian systems Journal of Functional Analysis. 229: 1-61. DOI: 10.1016/J.Jfa.2004.09.006  0.342
2005 Bourgain J. Estimation of certain exponential sums arising in complexity theory Comptes Rendus Mathematique. 340: 627-631. DOI: 10.1016/J.Crma.2005.03.008  0.359
2004 Bombieri E, Bourgain J. A remark on Bohr's inequality International Mathematics Research Notices. 2004: 4307-4330. DOI: 10.1155/S1073792804143444  0.306
2004 Bourgain J, Chang M. Sum-product theorem and exponential sum estimates in residue classes with modulus involving few prime factors Comptes Rendus Mathematique. 339: 463-466. DOI: 10.1016/J.Crma.2004.08.007  0.347
2004 Bourgain J. Mordell type exponential sum estimates in fields of prime order Comptes Rendus Mathematique. 339: 321-325. DOI: 10.1016/J.Crma.2004.06.013  0.332
2004 Bourgain J. New bounds on exponential sums related to the Diffie-Hellman distributions Comptes Rendus Mathematique. 338: 825-830. DOI: 10.1016/J.Crma.2004.03.027  0.344
2004 Bourgain J, Wang WM. Anderson localization for time quasi-periodic random Schrödinger and wave equations Communications in Mathematical Physics. 248: 429-466. DOI: 10.1007/S00220-004-1099-2  0.319
2004 Bourgain J, Katz N, Tao T. A Sum-Product Estimate In Finite Fields, And Applications Geometric and Functional Analysis. 14: 27-57. DOI: 10.1007/S00039-004-0451-1  0.316
2003 Bourgain J, Konyagin SV. Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order Comptes Rendus Mathematique. 337: 75-80. DOI: 10.1016/S1631-073X(03)00281-4  0.344
2002 Bourgain J. Estimates on Green's functions, localization and the quantum kicked rotor model Annals of Mathematics. 156: 249-294. DOI: 10.2307/3597190  0.323
2002 Bourgain J. Lyapounov exponents for discrete, quasi-periodic Schrödinger Comptes Rendus Mathematique. 335: 529-531. DOI: 10.1016/S1631-073X(02)02525-6  0.316
2002 Bourgain J, Brezis H. On the equation div u = f Comptes Rendus Mathematique. 334: 973-976. DOI: 10.1016/S1631-073X(02)02344-0  0.309
2001 Bourgain J. On random Schrödinger operators on $\mathbb Z^2$ Discrete and Continuous Dynamical Systems. 8: 1-15. DOI: 10.3934/Dcds.2002.8.1  0.32
2001 Bethuel F, Bourgain J, Brezis H, Orlandi G. W1,p estimates for solutions to the Ginzburg-Landau equation with boundary data in H1/2 Comptes Rendus De L'Academie Des Sciences - Series I: Mathematics. 333: 1069-1076. DOI: 10.1016/S0764-4442(01)02191-7  0.352
2000 Bourgain J, Brezis H, Mironescu P. On the structure of the Sobolev space H1/2 with values into the circle Comptes Rendus De L'Academie Des Sciences - Series I: Mathematics. 331: 119-124. DOI: 10.1016/S0764-4442(00)00513-9  0.309
2000 Bourgain J. Invariant measures for NLS in infinite volume Communications in Mathematical Physics. 210: 605-620. DOI: 10.1007/S002200050792  0.354
2000 Bourgain J, Schlag W. Anderson Localization for Schrödinger Operators on ℤ with Strongly Mixing Potentials Communications in Mathematical Physics. 215: 143-175. DOI: 10.1007/Pl00005538  0.349
1999 Bourgain J. Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case Journal of the American Mathematical Society. 12: 145-171. DOI: 10.1090/S0894-0347-99-00283-0  0.308
1999 Bourgain J. Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential Communications in Mathematical Physics. 204: 207-247. DOI: 10.1007/S002200050644  0.323
1999 Bourgain J. On the dimension of Kakeya sets and related maximal inequalities Geometric and Functional Analysis. 9: 256-282. DOI: 10.1007/S000390050087  0.32
1998 Bourgain J. Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations Annals of Mathematics. 148: 363-439. DOI: 10.2307/121001  0.358
1997 Bourgain J. Periodic korteweg de vries equation with measures as initial data Selecta Mathematica, New Series. 3: 115-159. DOI: 10.1007/S000290050008  0.38
1996 Bourgain J. Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations Geometric and Functional Analysis. 6. DOI: 10.1007/Bf02247885  0.36
1996 Bourgain J. Invariant measures for the 2D-defocusing nonlinear Schrödinger equation Communications in Mathematical Physics. 176: 421-445. DOI: 10.1007/Bf02099556  0.319
1995 Bourgain J. Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equations Geometric and Functional Analysis. 5: 105-140. DOI: 10.1007/978-3-0348-9102-8_1  0.302
1994 Bergelson V, Boshernitzan M, Bourgain J. Some results on non-linear recurrence Journal D Analyse Mathematique. 62: 29-46. DOI: 10.1007/Bf02835947  0.31
1994 Bourgain J. Hausdorff dimension and distance sets Israel Journal of Mathematics. 87: 193-201. DOI: 10.1007/Bf02772994  0.342
1994 Bourgain J. Periodic nonlinear Schrödinger equation and invariant measures Communications in Mathematical Physics. 166: 1-26. DOI: 10.1007/Bf02099299  0.321
1992 Bourgain J. A remark on the behaviour of L p-multipliers and the range of operators acting on L p-spaces Israel Journal of Mathematics. 79: 193-206. DOI: 10.1007/Bf02808215  0.388
1992 Bourgain J. Some consequences of Pisier's approach to interpolation Israel Journal of Mathematics. 77: 165-185. DOI: 10.1007/Bf02808016  0.351
1992 Bourgain J, Kahn J, Kalai G, Katznelson Y, Linial N. The influence of variables in product spaces Israel Journal of Mathematics. 77: 55-64. DOI: 10.1007/Bf02808010  0.319
1992 Bourgain J. A remark on Schrödinger operators Israel Journal of Mathematics. 77: 1-16. DOI: 10.1007/Bf02808007  0.312
1991 Berkson E, Bourgain J, Gillespie TA. On the almost everywhere convergence of ergodic averages for power-bounded operators on L P -subspaces Integral Equations and Operator Theory. 14: 678-715. DOI: 10.1007/Bf01200555  0.371
1990 Bourgain J. Problems of almost everywhere convergence related to harmonic analysis and number theory Israel Journal of Mathematics. 71: 97-127. DOI: 10.1007/Bf02807252  0.377
1990 Bourgain J, Tzafriri L. Embedding l(Formula presented.) in subspaces of Lp for p>2 Israel Journal of Mathematics. 72: 321-340. DOI: 10.1007/Bf02773788  0.348
1989 Bourgain J. Homogeneous polynomials on the ball and polynomial bases Israel Journal of Mathematics. 68: 327-347. DOI: 10.1007/Bf02764988  0.37
1989 Bourgain J. On Λ(p)-subsets of squares Israel Journal of Mathematics. 67: 291-311. DOI: 10.1007/Bf02764948  0.305
1989 Bourgain J. Pointwise ergodic theorems for arithmetic sets Publications MathéMatiques De L'Institut Des Hautes Scientifiques. 69: 5-41. DOI: 10.1007/Bf02698838  0.37
1988 Bourgain J. A nonlinear version of Roth's theorem for sets of positive density in the real line Journal D'Analyse MathéMatique. 50: 169-181. DOI: 10.1007/Bf02796120  0.32
1988 Bourgain J, Szarek SJ. The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization Israel Journal of Mathematics. 62: 169-180. DOI: 10.1007/Bf02787120  0.344
1988 Bourgain J. On the pointwise ergodic theorem on L p for arithmetic sets Israel Journal of Mathematics. 61: 73-84. DOI: 10.1007/Bf02776302  0.306
1988 Bourgain J. On the maximal ergodic theorem for certain subsets of the integers Israel Journal of Mathematics. 61: 39-72. DOI: 10.1007/Bf02776301  0.351
1988 Bourgain J. Almost sure convergence and bounded entropy Israel Journal of Mathematics. 63: 79-97. DOI: 10.1007/Bf02765022  0.36
1987 Bourgain J. Ruzsa's problem on sets of recurrence Israel Journal of Mathematics. 59: 150-166. DOI: 10.1007/Bf02787258  0.356
1987 Bourgain J. Construction of sets of positive measure not containing an affine image of a given infinite structure Israel Journal of Mathematics. 60: 333-344. DOI: 10.1007/Bf02780397  0.317
1987 Bourgain J, Tzafriri L. Invertibility of 'large' submatrices with applications to the geometry of Banach spaces and harmonic analysis Israel Journal of Mathematics. 57: 137-224. DOI: 10.1007/Bf02772174  0.389
1987 Bourgain J. On the Hausdorff dimension of harmonic measure in higher dimension Inventiones Mathematicae. 87: 477-483. DOI: 10.1007/Bf01389238  0.331
1986 Bourgain J, Sato H. A direct proof of van der Vaart's theorem Studia Mathematica. 84: 125-131. DOI: 10.4064/Sm-84-2-125-131  0.303
1986 Bourgain J. On the dichotomy problem for tensor algebras Transactions of the American Mathematical Society. 293: 793-798. DOI: 10.1090/S0002-9947-1986-0816324-7  0.328
1986 Bourgain J, Figiel T, Milman V. On hilbertian subsets of finite metric spaces Israel Journal of Mathematics. 55: 147-152. DOI: 10.1007/Bf02801990  0.322
1986 Bourgain J. The metrical interpretation of superreflexivity in banach spaces Israel Journal of Mathematics. 56: 222-230. DOI: 10.1007/Bf02766125  0.317
1986 Bourgain J. On the similarity problem for polynomially bounded operators on hilbert space Israel Journal of Mathematics. 54: 227-241. DOI: 10.1007/Bf02764943  0.375
1985 Bourgain J. On lipschitz embedding of finite metric spaces in Hilbert space Israel Journal of Mathematics. 52: 46-52. DOI: 10.1007/Bf02776078  0.343
1984 Bourgain J. On bases in the disc algebra Transactions of the American Mathematical Society. 285: 133-139. DOI: 10.1090/S0002-9947-1984-0748834-3  0.342
1984 Bourgain J. The dimension conjecture for polydisc algebras Israel Journal of Mathematics. 48: 289-304. DOI: 10.1007/Bf02760630  0.352
1984 Bourgain J. New Banach space properties of the disc algebra and H Acta Mathematica. 152: 1-48. DOI: 10.1007/Bf02392189  0.32
1983 Bourgain J, Rosenthal HP. Applications of the theory of semi-embeddings to Banach space theory Journal of Functional Analysis. 52: 149-188. DOI: 10.1016/0022-1236(83)90080-0  0.321
1983 Bourgain J. On the primarity of H ∞-spaces Israel Journal of Mathematics. 45: 329-336. DOI: 10.1007/Bf02804016  0.327
1983 Bourgain J, Pisier G. A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces Boletim Da Sociedade Brasileira De MatemáTica. 14: 109-123. DOI: 10.1007/Bf02584862  0.33
1982 Bourgain J. A hausdorff-young inequality for B-convex banach spaces Pacific Journal of Mathematics. 101: 255-262. DOI: 10.2140/Pjm.1982.101.255  0.306
1981 Bourgain J, Rosenthal HP, Schechtman G. An ordinal LP-index for Banach spaces, with application to complemented subspaces of LP Annals of Mathematics. 114: 193. DOI: 10.2307/1971293  0.327
1981 Bourgain J. On trigonometric series in super reflexive spaces Journal of the London Mathematical Society. 165-174. DOI: 10.1112/Jlms/S2-24.1.165  0.34
1981 Bourgain J. A new class of ℒ 1-spaces Israel Journal of Mathematics. 39: 113-126. DOI: 10.1007/Bf02762857  0.311
1979 Bourgain J. An averaging result for l 1-sequences and applications to weakly conditionally compact sets in L x 1 Israel Journal of Mathematics. 32: 289-298. DOI: 10.1007/Bf02760458  0.302
1977 Bourgain J. On dentability and the Bishop-Phelps property Israel Journal of Mathematics. 28: 265-271. DOI: 10.1007/Bf02760634  0.326
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