Analyse de Fourier des fractions continues a quotients restreints 1 RESUME. Let A be a finite alphabet of positive integers with |A| ≥ 2, and F(A) , the set of numbers in [0, 1) whose partial quotients belong to A . We construct a Kaufman measure on every such set with Hausdorff dimension > 1/2 and establish, this way, the existence of infinitely many normal numbers in F(A) . This improves previous results of Kaufman and Baker.
- analyse de fourier des fractions continues
- kaufman measure
- dimension de hausdorff
- borne inferieure de la vitesse de convergence de µ
- developpement en fraction continue
- relecture soigneuse de la construction de kaufman