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List of works by Jean Bourgain

A Problem on Sums of Two Squares

scientific article published in 2015

A Szemerédi type theorem for sets of positive density in R^k

scientific article published in 1986

A sum-product estimate in finite fields, and applications

article

Additive Patterns in Multiplicative Subgroups ⬇️

scholarly article from 'Geometric and Functional Analysis' published in 2014

Affine linear sieve, expanders, and sum-product

scientific article published in 2009

Besicovitch type maximal operators and applications to fourier analysis

Bounds on the density of states for Schrödinger operators

scientific article published in 2013

Character sums and deterministic polynomial root finding in finite fields

scientific article published in 2015

Construction of periodic solutions of nonlinear wave equations in higher dimension

scientific article published in 1995

Continuity of the Lyapunov Exponent for Quasiperiodic Operators with Analytic Potential

scientific article published in 2002

Decoupling for Perturbed Cones and the Mean Square of $|\zeta (\frac 12+it)|$

scientific article published in 2017

ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER

scientific article published in 2006

Expanders and dimensional expansion

Expansion in SL 2 $${(\mathbb{R})}$$ and monotone expanders

scientific article (publication date: February 2013)

Hölder Regularity of Integrated Density of States for the Almost Mathieu Operator in a Perturbative Regime

scientific article published in 2000

Lᵖ-Estimates for oscillatory integrals in several variables

scientific article published in 1991

Multiplicative congruences with variables from short intervals

scientific article published in 2014

On Dimension-Free Variational Inequalities for Averaging Operators in Rd

scientific article published in 2018

On Lipschitz embedding of finite metric spaces in Hilbert space

scientific article published in 1985

On Triples in Arithmetic Progression

scientific article published in 1999

On Zaremba's Conjecture

scientific article published in 2014

On the Erdős-Volkmann and Katz-Tao ring conjectures

scientific article published in 2003

On the global Cauchy problem for the nonlinear Schrodinger equation

scientific article

On type of metric spaces

scientific article published in 1986

Pointwise Compact Sets of Baire-Measurable Functions

scientific article published in 1978

Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three

Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations

scientific article published in 1998

Roth’s theorem on progressions revisited

article published in 2008

Sector Estimates for Hyperbolic Isometries

scientific article published in 2010

Small gaps in the spectrum of the rectangular billiard

scientific article published in 2017

Some effective results for ×a×b

scientific article published in 2009

Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus

scientific article published in 2011

The Heisenberg principle and positive functions

scientific article published in 2010

The discretized sum-product and projection theorems

scientific article published in 2010

The influence of variables in product spaces

scientific article published in 1992

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