[La fonction
R. Salem (Trans. Amer. Math. Soc. 53 (3) (1943) 427–439) asked whether the Fourier–Stieltjes transform of the Minkowski question mark function
R. Salem (Trans. Amer. Math. Soc. 53 (3) (1943) 427–439) demande si la transformée de Fourier–Stieltjes de la fonction point dʼinterrogation de Minkowski
Accepté le :
Publié le :
Giedrius Alkauskas 1
@article{CRMATH_2012__350_3-4_137_0, author = {Giedrius Alkauskas}, title = {The {Minkowski} $ ?(x)$ function and {Salem's} problem}, journal = {Comptes Rendus. Math\'ematique}, pages = {137--140}, publisher = {Elsevier}, volume = {350}, number = {3-4}, year = {2012}, doi = {10.1016/j.crma.2012.01.012}, language = {en}, }
Giedrius Alkauskas. The Minkowski $ ?(x)$ function and Salemʼs problem. Comptes Rendus. Mathématique, Volume 350 (2012) no. 3-4, pp. 137-140. doi : 10.1016/j.crma.2012.01.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.01.012/
[1] The moments of Minkowski question mark function: the dyadic period function, Glasgow Math. J., Volume 52 (2010) no. 1, pp. 41-64
[2] On some singular monotonic functions which are strictly increasing, Trans. Amer. Math. Soc., Volume 53 (1943) no. 3, pp. 427-439
[3] N. Temme, Asymptotics of the integral
[4] A Treatise on the Theory of Bessel Function, Cambridge University Press, 1995 (reprint of the second (1944) edition)
[5] The Fourier–Stieltjes transform of Minkowskiʼs
[6] Trigonometric Series, vols. I, II, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1988 (reprint of the 1979 edition)
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