Salem's Problem for the Inverse Minkowski ?( t ) Function
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2404-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2404-7 | ||
| 100 | 1 | |a Golubeva |D E. |u The Bonch-Bruevich St.Petersburg State University of Telecommunications, St.Petersburg, Russia |4 aut | |
| 245 | 1 | 0 | |a Salem's Problem for the Inverse Minkowski ?( t ) Function |h [Elektronische Daten] |c [E. Golubeva] |
| 520 | 3 | |a Let dn be the Fourier-Stieltjes coefficient of the Minkowski ?(t) function, d n = ∫ 0 1 cos 2 πntd ? t . $$ {d}_n={\displaystyle \underset{0}{\overset{1}{\int }} \cos 2\pi ntd?(t)}. $$ Salem's problem consists in determining whether d n tends to zero as n→∞. In the paper, the Fourier coefficient α n = ∫ 0 1 cos 2 π n ? t d t $$ {\alpha}_n={\displaystyle \underset{0}{\overset{1}{\int }} \cos \left(2\pi n?(t)\right)dt} $$ is considered. It is proved that α n does not tend to zero as n→∞. Bibliography: 8 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/6(2015-06-01), 808-814 |x 1072-3374 |q 207:6<808 |1 2015 |2 207 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2404-7 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2404-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Golubeva |D E. |u The Bonch-Bruevich St.Petersburg State University of Telecommunications, St.Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/6(2015-06-01), 808-814 |x 1072-3374 |q 207:6<808 |1 2015 |2 207 |o 10958 | ||