Resumen de Nazarov's uncertainty principles in higher dimension

Philippe Jaming

• In this paper we prove that there exists a constant C such that, if S,S are subsets of of finite measure, then for every function ,where is the Fourier transform of f and w(S) is the mean width of S. This extends to dimension d1 a result of Nazarov [Local estimates for exponential polynomials and their applications to inequalities of the uncertainty principle type, Algebra i Analiz 5 (1993) 3�66 (in Russian); translation in St. Petersburg Math. J. 5 (1994) 663�717] in dimension d=1.