|
|||||
|
|
Liouville numbers, Rajchman measures, and small Cantor sets |
|
| Authors: | Christian E. Bluhm |
| Affiliation: | Department of Mathematics, University of Greifswald, Jahnstrasse 15a, D-17487 Greifswald, Germany |
| Abstract: | We show that the set of Liouville numbers carries a positive measure whose Fourier transform vanishes at infinity. The proof is based on a new construction of a Cantor set of Hausdorff dimension zero supporting such a measure. |
| Keywords: | Liouville numbers Rajchman measure Cantor set |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |