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The Fourier-Stieltjes transform of Minkowski's ?(x) function and an affirmative answer to Salem's problem

Title

The Fourier-Stieltjes transform of Minkowski's ?(x) function and an affirmative answer to Salem's problemExport publication in the APA format Export publication in the EXCEL format Export publication in the RIS format

Type

Article in International Scientific Journal

Date

2011

Title

The Fourier-Stieltjes transform of Minkowski's ?(x) function and an affirmative answer to Salem's problem

Type

Article in International Scientific Journal

Year

2011

Authors

Semyon Yakubovich

(Author)

FCUP

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Journal

Title: Comptes Rendus MathematiqueImported from Authenticus Search for Journal Publications

Vol. 349

Pages: 633-636

ISSN: 1631-073X

Publisher: Academie des Sciences

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-QP5

DOI: 10.1016/j.crma.2011.04.004

Abstract (EN): By using structural and asymptotic properties of the Kontorovich-Lebedev transform associated with Minkowski's question mark function, we give an affirmative answer to the question posed by R. Salem (Trans. Amer. Math. Soc. 53 (3) (1943) 439) whether its Fourier-Stieltjes transform vanishes at infinity.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4

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