Heisenberg uncertainty principle, indeterminacy principle

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This book talks about Heisenberg Uncertainty Principle, or Indeterminacy Principle, it has five chapters, in the first we provide the definition of the uncertainty inequality in Hilbert space, in the second chapter we give the uncertainty inequality related to Fourier--Dunkl series, in the third chapter we give Pitt's inequality in which we define the logarithmic uncertainty and logarithmic Sobolev inequality, in the forth chapter we give two types of inequalities in Fourier analysis, the last chapter about an entropic uncertainty principle for quantum measurements.

Mohamed Amine Boubatra né le 11 Août 1991 à Sétif, Algérie, titulaire d'un Master de recherche en mathématiques appliquées de l'université de Sétif 1, et doctorant chercheur en analyse mathématiques et applications à la faculté des sciences de Tunis depuis 2017.