Nazarov's uncertainty principles in higher dimension

• Autores: Philippe Jaming
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 149, Nº 1, 2007, págs. 30-41
• Idioma: inglés
• DOI: 10.1016/j.jat.2007.04.005
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.