Nazarov's uncertainty principles in higher dimension

@article{Jaming2007NazarovsUP,
  title={Nazarov's uncertainty principles in higher dimension},
  author={P. Jaming},
  journal={J. Approx. Theory},
  year={2007},
  volume={149},
  pages={30-41}
}
  • P. Jaming
  • Published 2007
  • Mathematics, Computer Science
  • J. Approx. Theory
  • In this paper we prove that there exists a constant C such that, if S,@S are subsets of R^d of finite measure, then for every function f@?L^2(R^d),@!"R"^"d|f(x)|^2dx==1 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. 

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