Bounded Remainder Sets on a Double Covering of the Klein Bottle

Verfasser / Beitragende:
[V. Zhuravlev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/6(2015-06-01), 857-873
Format:
Artikel (online)
ID: 605522499
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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 
856 4 0 |u https://doi.org/10.1007/s10958-015-2410-9  |q text/html  |z Onlinezugriff via DOI 
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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