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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 problem
Type
Article in International Scientific Journal
Year
2011
Authors
Semyon Yakubovich
(Author)
FCUP
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Journal
Vol. 349
Pages: 633-636
ISSN: 1631-073X
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-002-QP5
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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