Bounded Remainder Sets on a Double Covering of the Klein Bottle
Gespeichert in:
Verfasser / Beitragende:
[V. Zhuravlev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/6(2015-06-01), 857-873
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2410-9 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2410-9 | ||
| 100 | 1 | |a Zhuravlev |D V. |u Vladimir State University, Vladimir, Russia |4 aut | |
| 245 | 1 | 0 | |a Bounded Remainder Sets on a Double Covering of the Klein Bottle |h [Elektronische Daten] |c [V. Zhuravlev] |
| 520 | 3 | |a A shift S ˜ : K ˜ 2 → K ˜ 2 $$ \tilde{\mathbb{S}}\kern0.5em :\kern0.5em {\tilde{\mathbb{K}}}^2\to {\tilde{\mathbb{K}}}^2 $$ on the double covering of the Klein bottle K ˜ 2 = K 2 × ± 1 $$ {\tilde{\mathbb{K}}}^2={\mathbb{K}}^2\times \left\{\pm 1\right\} $$ is considered. This shift S ˜ $$ \tilde{\mathbb{S}} $$ generates a tiling K ˜ 2 = K ˜ 0 2 ⊔ K ˜ 1 2 $$ {\tilde{\mathbb{K}}}^2={\tilde{\mathbb{K}}}_0^2\bigsqcup {\tilde{\mathbb{K}}}_1^2 $$ by two bounded remainder sets K ˜ 0 2 $$ {\tilde{\mathbb{K}}}_0^2 $$ and K ˜ 1 2 $$ {\tilde{\mathbb{K}}}_1^2 $$ with respect to the shift S ˜ $$ \tilde{\mathbb{S}} $$ . Two-sided bounds for the deviation functions of these sets are proved. Bibliography: 16 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), 857-873 |x 1072-3374 |q 207:6<857 |1 2015 |2 207 |o 10958 | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2410-9 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Zhuravlev |D V. |u Vladimir State University, Vladimir, 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), 857-873 |x 1072-3374 |q 207:6<857 |1 2015 |2 207 |o 10958 | ||