The spectrum of a class of almost periodic operators
For almost Mathieu operators, it is shown that the occurrence of Cantor spectrum and the existence, for every point in the spectrum and suitable phase parameters, of at least one localized eigenfunction which decays exponentially are inconsistent properties.
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203206268 |
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| _version_ | 1832558260678295552 |
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| author | Norbert Riedel |
| author_facet | Norbert Riedel |
| author_sort | Norbert Riedel |
| collection | DOAJ |
| description | For almost Mathieu operators, it is shown that the occurrence of Cantor spectrum and the existence, for every point in the spectrum and suitable phase parameters, of at least one localized
eigenfunction which decays exponentially are inconsistent properties. |
| format | Article |
| id | doaj-art-92e603beec434c3596cffdad0ae208e1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-92e603beec434c3596cffdad0ae208e12025-02-03T01:32:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003362277230110.1155/S0161171203206268The spectrum of a class of almost periodic operatorsNorbert Riedel0Department of Mathematics, Tulane University, New Orleans 70118, LA, USAFor almost Mathieu operators, it is shown that the occurrence of Cantor spectrum and the existence, for every point in the spectrum and suitable phase parameters, of at least one localized eigenfunction which decays exponentially are inconsistent properties.http://dx.doi.org/10.1155/S0161171203206268 |
| spellingShingle | Norbert Riedel The spectrum of a class of almost periodic operators International Journal of Mathematics and Mathematical Sciences |
| title | The spectrum of a class of almost periodic operators |
| title_full | The spectrum of a class of almost periodic operators |
| title_fullStr | The spectrum of a class of almost periodic operators |
| title_full_unstemmed | The spectrum of a class of almost periodic operators |
| title_short | The spectrum of a class of almost periodic operators |
| title_sort | spectrum of a class of almost periodic operators |
| url | http://dx.doi.org/10.1155/S0161171203206268 |
| work_keys_str_mv | AT norbertriedel thespectrumofaclassofalmostperiodicoperators AT norbertriedel spectrumofaclassofalmostperiodicoperators |