The Minkowski ?(x) function and Salem's problem

7Citations
Citations of this article
4Readers
Mendeley users who have this article in their library.
Get full text

Abstract

R. Salem (Trans. Amer. Math. Soc. 53 (3) (1943) 427-439) asked whether the Fourier-Stieltjes transform of the Minkowski question mark function ?(x) vanishes at infinity. In this Note we present several possible approaches towards the solution. For example, we show that this transform satisfies integral and discrete functional equations. Thus, we expect the affirmative answer to Salem's problem. At the end of this Note we show that a recent attempt to settle this question (S. Yakubovich, C. R. Acad. Sci. Paris, Ser. I 349 (11-12) (2011) 633-636) is fallacious. © 2012 Académie des sciences.

Cite

CITATION STYLE

APA

Alkauskas, G. (2012). The Minkowski ?(x) function and Salem’s problem. Comptes Rendus Mathematique, 350(3–4), 137–140. https://doi.org/10.1016/j.crma.2012.01.012

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free